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