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