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