Question

Which graph represents the solution set if the compound inequality?

-5

Answer 1

-5 < a - 4 < 2

solving for a

a - 4 > - 5

a > -1 and

a - 4 < 2

a < 6

So the correct solution set is the third one.

Answer 2

The answer is the third one: (-1,6)

Explanation:

In order to determine the answer, we have to know about inequality. An inequality is a mathematical expression where the variable can take different values as solution. The range of solution is determined by the boundary values.

In this case, we have the following inequality:

`-5<a-4<2`

We can add +4 to the entire inequality:

`-5+4<a-4+4<2+4\\-1<a<6`

Then, the variable "a" has a range of solution between -1 and 6, without taking these values.

Finally, the graph that represents the solution set is the third one: (-1,6)