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