Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false.
-If a is not an even counting number, then the product of a and the counting number b is not an Even counting number.
A) If the product of a and the counting number b is an even counting number, then a is an even counting number. false
B) If the product of a and the counting number b is an even counting number, then a is an even counting number. true
C) If the product of a and the counting number b is an even counting number, then a is not an even counting number. true
D) If the product of a and the counting number b is an even counting number, then a is not an even counting number. false

Question

Quizplus · Accepted Answer

The contrapositive of the given statement is correctly represented in option A. The contrapositive of "If a is not an even counting number, then the product of a and the counting number b is not an even counting number" is "If the product of a and the counting number b is an even counting number, then a is an even counting number." However, the statement is false because if b is even, the product can be even regardless of whether a is even or odd.

Write the Contrapositive of the Statement