87.1k views
0 votes
The number 18 is a counterexample for which of the following conditional statements?

A. If a number is divisible by 2, it is even.
B. If a number is odd, then it is not divisible by 2.
C. If a number is even, then it ends with 0, 2, 4, 6, or 8.
D. If a number is divisible by 2, then it is also divisible by 4.

User Rani
by
4.7k points

2 Answers

0 votes
the answer is c. if a number is even,then it ends with 0,2,4,6,or 8
User Shawnda
by
4.5k points
4 votes

Answer:

The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Explanation:

To find : The number 18 is a counterexample for which of the following conditional statements?

Solution :

For a conditional statement to be true then it is true for all cases that satisfy the condition.

A counterexample is given to prove a conditional statement false.

Now, Examine all the conditions

A. If a number is divisible by 2, it is even.

18 is even and divisible by 2 - True

B. If a number is odd, then it is not divisible by 2.

18 is not odd so it is divisible by 2 - True

C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

18 ends with 8 so it is even - True

D. If a number is divisible by 2, then it is also divisible by 4.

18 is divisible by 2 but 18 is not divisible by 4 - False

Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

User Andrey E
by
5.8k points