Question

Which graph represents the solution set of the compound inequality -5 < a -15 < 2

Answer 1

correct

Explanation:

Answer 2

We are given the inequality,

`-5<a-15<2`

Now let us simplify this to get the value of a,

Adding 15 to both the sides,

`-5+15<a-15+15<2+15`

`10<a<17`

So we have a>10 and a<17

One more thing that we need to look at is whether we will have close dots or open dots at 10 or 17.

If we have "=" sign along with inequality sign (≤ or ≥) then we use closed dot.

If we dont have "=" sign along with inequality sign (< or >) then we use open dot.

In our case we use open dot , since we dont have "=" sign.

So Answer will be option third, line starting from 10 to 17 with open dots at 10 and 17.