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. 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