(v) x is an even number implies that x is divisible by 4. Write that as BARKING -> ~BITE Then use the rules: 1. Converse: Inverse: Contrapositive: Write the converse and contrapositive of each of the following conditional statements. 7. 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. Write the converse of the following true conditional statement. (a) If \(a = 5\), then \(a^2 = 25\). If x < 30, then x < 20; true. c.) Eating ice-cream is necessasry for me to be happy all day. Ex 14.4,2 Write the contrapositive and converse of the following statements. To form the converse conditional of a given conditional, exchange what's on the left of the -> with what's on the right. ... Converse Statement-If you will pass the exam, then you are intelligent. each conditional is true . If the converse is true, combine the statements and write then as a biconditional statement. Write the converse, inverse, and contrapositive of the following conditional statement If a dog is barking, then it will not bite. (c) If \(a \ne b\), then \(a^4 \ne b^4\). I will dance only if you sing. If x > 30, then x > 20; true. 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. 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”. If x > 5, then X is red. a) If I receive a scholarship, then I will go to college. If x < 30, then x < 20; false. If it rains, then I will stay at home. Solution for Determine whether each of the following statements is the converse, inverse, or contrapositive of the given conditional statement. and thanx! (But do not NEGATE either one.) Conditional: If… (d) If \(a\) is an odd integer, then \(3a\) is an odd integer. )Write the converse of each of the following statements: a.) D) mc043-4.jpg 16. Given a conditional statement, the student will write its converse, inverse, and contrapositive. In the lesson about conditional statement, we said that the symbol that we use to represent a conditional is p → q. If the converse is false, write a counterexample. Two other variants of a conditional statement are not logically equivalent to the statement. d.) Eating ice-cream is sufficient for me to be happy all day. (b) If it is not raining, then Laura is playing golf. 1. If 5x – 1 = 9, then x = 2. write its converse . by the way x^2 means x … If x > 20, then x > 30; false. e.) It is not necessary to understand things to argue about them. Write the converse, inverse and contrapositive of the following statements-If today is Sunday, then it is a holiday. Counterexample: x = 25 and x < 30. B) If n = 17, then mc043-3.jpg C) The converse is not true. If n = 17, then mc043-1.jpg A) mc043-2.jpg if and only if n = 17. 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 !!! if the Converse is also true,combine the statements as a biconditional. f.) Write the converse for the following statement. The converse of p → q is q → p as illustrated in the figure in … 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. 6. An integer can be even or odd but it cannot be both. Counterexample: x = 27 and x > 27. 4 Writing the Converse and the Inverse Write the converse and inverse of each of the following statements: a. Determine the truth value of each conditional and its converse. 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