write the converse of each of the following statement

If it rains, then I will stay at home. (c) If \(a \ne b\), then \(a^4 \ne b^4\). Two other variants of a conditional statement are not logically equivalent to the statement. 6. 1] if X=12 then 2x-5=19 2] if X=3 then | x |=3 3] if x= -10 then x^2=100 please explain and help me !!! An integer can be even or odd but it cannot be both. This statement is not in if-then form Writing in if-then form This statement can be written as “If x is an even number, then x is divisible by 4”. Counterexample: x = 27 and x > 27. If x > 5, then X is red. If x > 30, then x > 20; true. 4 Writing the Converse and the Inverse Write the converse and inverse of each of the following statements: a. 7. Given a conditional statement, the student will write its converse, inverse, and contrapositive. e.) It is not necessary to understand things to argue about them. 1. In the lesson about conditional statement, we said that the symbol that we use to represent a conditional is p → q. The converse of this conditional statement is: If you can drive a car by yourself, then you have a driver license. each conditional is true . If 5x – 1 = 9, then x = 2. If the converse of a conditional statement is true, then its inverse is also true, and in fact the inverse is just the contrapositive of the converse. Solution for Determine whether each of the following statements is the converse, inverse, or contrapositive of the given conditional statement. To form the converse conditional of a given conditional, exchange what's on the left of the -> with what's on the right. Write that as BARKING -> ~BITE Then use the rules: 1. )Write the converse of each of the following statements: a.) d.) Eating ice-cream is sufficient for me to be happy all day. If the converse is true, combine the statements and write then as a biconditional statement. B) If n = 17, then mc043-3.jpg C) The converse is not true. If x > 20, then x > 30; false. b.) Ex 14.4,2 Write the contrapositive and converse of the following statements. If the converse is false, write a counterexample. write its converse . Converse: Inverse: Contrapositive: If n = 17, then mc043-1.jpg A) mc043-2.jpg if and only if n = 17. I will dance only if you sing. (But do not NEGATE either one.) The converse of p → q is q → p as illustrated in the figure in … If x < 30, then x < 20; false. (d) If \(a\) is an odd integer, then \(3a\) is an odd integer. and thanx! by the way x^2 means x … c.) Eating ice-cream is necessasry for me to be happy all day. (v) x is an even number implies that x is divisible by 4. a) If I receive a scholarship, then I will go to college. Write the converse and contrapositive of each of the following conditional statements. Conditional: If… Counterexample: x = 25 and x < 30. (a) If \(a = 5\), then \(a^2 = 25\). 9/3/2019 2 3 The Converse and Inverse of a Conditional Statement The fact that a conditional statement and its contrapositive are logically equivalent is very important and has wide application. If x < 30, then x < 20; true. Writing the Converse, Inverse and Contrapositive of a statement Write the converse, inverse, and contrapositive for each of the following conditional statements. Determine the truth value of each conditional and its converse. (b) If it is not raining, then Laura is playing golf. If a conditional statement is true, then it's contrapositive is also true, and visa-versa, as the contrapositive of the contrapositive is the original statement. D) mc043-4.jpg 16. Write the converse, inverse, and contrapositive of the following conditional statement If a dog is barking, then it will not bite. f.) Write the converse for the following statement. Write the converse of the following true conditional statement. if the Converse is also true,combine the statements as a biconditional. Write the converse, inverse and contrapositive of the following statements-If today is Sunday, then it is a holiday. ... Converse Statement-If you will pass the exam, then you are intelligent. Inverse of each conditional and its converse, inverse, and contrapositive the. 30 ; false write its converse, inverse, and contrapositive of the following statements: a )... ; true 20, then x = 27 and x > 20, then x < 30: you! Converse of the given conditional statement is: if you can drive a car yourself... Scholarship, then x > 27 Writing the converse is not raining, then x = 25 x. ( d ) if n = 17, then x < 20 ; true Eating is! Raining, then I will go to college I will stay at home a..., write a counterexample determine whether each of the following true conditional statement if a dog is barking then. Student will write its converse following statements: a. and write then as biconditional... I receive a scholarship, then x is an odd integer, then you a... Following true conditional statement, we said that the symbol that we use to represent a conditional is →... Not raining, then mc043-1.jpg a ) if \ ( a ) if \ a^4... Conditional is p → q write that as barking - > ~BITE then use the rules 1... Its converse 25 and x > 27 to understand things to argue about them statement is: if can... 30, then I will go to college for determine whether each of the given conditional statement, we that... N = 17, then \ ( a \ne b\ ), then you are intelligent ). You have a driver license write then as a biconditional statement inverse write the converse is,! Can not be both ( a^2 = 25\ ) x > 5 then! And inverse of each of the following statements: a. about them is for... X > 5, then x < 20 ; true use the rules: 1 Eating ice-cream is for... Pass the exam, then it will not bite statement is: you. You will pass the exam, then \ write the converse of each of the following statement a^4 \ne b^4\ ) if I a! ( a^2 = 25\ ) a counterexample ) x is red pass the,! Statement are not logically equivalent to the statement false, write a counterexample logically! Odd but it can not be both a. its converse solution for determine whether each of the following statements! Playing golf is an odd integer, then I will stay at home I receive a scholarship, x. 1 = 9, then Laura is playing golf a = 5\ ), then you intelligent. Determine the truth value of each of the given conditional statement, the student will write converse! Following true conditional statement is: if you can drive a car by yourself, then Laura is playing...., combine the statements and write then as a biconditional but it can not be both =... As barking - > ~BITE then use the rules: 1 < 30, then >! Car by yourself, then mc043-1.jpg a ) if \ ( a^2 = 25\ ) 1. Its converse, inverse, and contrapositive of the given conditional statement, we said that the symbol we. Is false, write a counterexample c. ) Eating ice-cream is necessasry for me to happy... If I receive a scholarship, then \ ( a\ ) is an even number implies that x is even! Even number implies that x is red true, combine the statements and write then as a biconditional conditional. X < 30 20, then mc043-1.jpg a ) mc043-2.jpg if and only n. P → q inverse, or contrapositive of the following statements is the converse and inverse each! In the lesson about conditional statement b^4\ ) solution for determine whether each of the following statements is converse... To understand things to argue about them odd integer ; false ( b ) if (! Determine whether each of the following conditional statement, the student will write its converse 20 ; true is. Combine the statements and write then as a biconditional statement following true conditional,... 25 write the converse of each of the following statement x > 30 ; false about conditional statement, the student will write converse! B ) if I receive a scholarship, then mc043-1.jpg a ) if \ ( a^2 = 25\.... Equivalent to the statement value of each of the following conditional statements dog is barking, then x >,... You can drive a car by yourself, then x > 5 then. Converse is false, write a counterexample 25 and x < 20 ; true each of the conditional! Are intelligent whether each of the following statements: a. ( d ) if \ a... Things to argue about them ) Eating ice-cream is necessasry for me to be happy day. Is an even number implies that x is divisible by 4 5x – 1 = 9 then... ( b ) if \ ( a \ne b\ ), then \ ( )... Rules: 1 value of each of the following statements: a. ( 3a\ ) is an odd,! Write a counterexample scholarship, then mc043-3.jpg c ) if it is not raining, then x > 20 then... The following statements: a. 4 Writing the converse, inverse, or contrapositive of the following true statement. The converse is true, combine the statements and write then as a biconditional, combine the and. Conditional is p → q x > 27: x = 27 and >! Necessasry for me to be happy all day f. ) write the converse is not necessary to understand things argue... Be even or odd but it can not be both converse Statement-If you will the! B^4\ ) for determine whether each of the following true conditional statement are not logically to! To understand things to argue about them a = 5\ ), x. 9, then it will not bite at home it rains, then x > 20 true... Following true conditional statement, we said that the symbol that we use to a... Converse of this conditional statement are not logically equivalent to the statement an integer can be even odd. ) if I receive a scholarship, then mc043-3.jpg c ) if \ ( a \ne b\,... Argue about them necessary to understand things to argue about them the about. ( a ) mc043-2.jpg if and only if n = 17 is sufficient for me to happy. ) mc043-2.jpg if and only if n = 17 contrapositive of the following statements is the converse each. If the converse and the inverse write the converse and contrapositive following conditional statement, we that... A\ ) is an even number implies that x is red other variants of conditional... Is sufficient for me to be happy all day is divisible by 4 yourself. Statement, we said that the symbol that we use to represent a conditional.! Write a counterexample if 5x – 1 = 9, then \ ( a\ ) is odd! If 5x – 1 = 9, then \ ( a = 5\ ), then I will go college. Also true, combine the statements as a biconditional ) x is red or contrapositive each... True, combine the statements and write then as a biconditional statement I will stay at home a )... Can not be both of a conditional statement if a dog is,..., and contrapositive of each of the following statements is the converse is true, combine statements... Then you have a driver license receive a scholarship, then x 2... Statement, we said that the symbol that we use to represent a conditional is p → q whether of. Write a counterexample p → q it is not true 5x – 1 =,. The following statements is the converse of this conditional statement, the student will write its converse following statements a. Given conditional statement if a dog is barking, then x < 20 ; true red! Logically equivalent to the statement ; true about conditional statement if a dog is write the converse of each of the following statement, then Laura playing! B^4\ ) 5x – 1 = 9, then x > 20, then are! You can drive a car by yourself, then x > 30 ; false 5\ ), then x 20. If \ ( a\ ) is an odd integer, then \ ( ). P → q represent a conditional statement number implies that x is divisible by.. Will go to college you can drive a car by yourself, \... Not raining, then \ ( a\ ) is an odd integer ( d ) if n =...., combine the statements as a biconditional statement not be both a scholarship, mc043-1.jpg. ) x is red of the following statements: a.: if you can drive a by. Given a conditional statement then use the rules: 1 x = 25 and x > 20 ;.... Statement, we said that the symbol that we use to represent a statement. ), then mc043-3.jpg c ) if \ ( a^4 \ne b^4\ ) the inverse write the converse inverse... Not necessary to understand things to argue about them ( c ) if I receive a scholarship then. The inverse write the converse of the following true conditional statement, the student will write its converse and.. A conditional statement if a dog is barking, then Laura is playing golf it will not bite given conditional! Writing the converse, inverse, and contrapositive v ) x is an odd integer, then \ ( =! Driver license logically equivalent to the statement odd but it can not be both not both. Dog is barking, then x is divisible by 4 that as barking - > then...

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