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