Question

Which of the following is a counter example of the statement? If 2n + 4 < 20. then n < 6.
A. If n = 5, 2n + 4 < 20 is true.
B. If n = 7, 2n + 4 < 20 is true.
C. If n = 10, 2n + 4 < 20 is false.
D. If n= 20, 2n + 4 < 20 is false.

Answer 1

B) If n = 7, 2n + 4 < 20 is true.

A counterexample satisfies the hypothesis but causes the conclusion to be false.

2(7) + 4 < 20 BUT 7 is NOT less than 6.