Question

Which graph represents the solution set of the compound inequality?

−5 < a − 4 < 2

Answer 1

`image`

the 3rd one

Answer 2

Correct graph is:

Third

Explanation:

we have to determine the graph of the inequality:

−5 < a − 4 < 2

Adding 4 on each side of the above inequality:

-5+4 < a-4+4 < 2+4

i.e. -1 < a < 6

Hence, graph of the inequality −5 < a − 4 < 2 is the set of all values between -1 and 6 and excluding -1 and 6

Correct graph is:

Third