Question

Which of the following is the hypothesis of this statement? If 4 < k < 6, then –4 > –k > –6. a. 4 < k < 6 b. 4 > k > 6 c. –4 > –k > –6 d. –4 < –k < –6

Answer 1

4 < k < 6

Explanation:

for 4 < k < 6, then –4 > –k > –6, the lowest value is -6 while highest value is 6

since they don't have the same variables; one is k while the other one is -k

–4 > –k > –6 can be changed by multiplying through by -1

4 < k < 6 which now aligns with the initial equation,

hence answer is

4 < k < 6