Question

Which graph represents the solution set of the compound inequality?

−5<a−6<2

Answer 1

C is the correct answer

Answer 2

Correct graph of the inequality −5 < a−6 < 2 is:

Third option

Explanation:

We are given a inequality:

−5 < a−6 < 2

adding 6 on each sides of inequality, we get

-5+6 < a-6+6 < 2+6

i.e. 1 < a < 8

Hence, Values of a lies between 1 and 8 excluding both 1 and 8

Hence, Correct graph of the inequality −5 < a−6 < 2 is:

Third option