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