We are given the inequality,
[tex]-5<a-15<2[/tex]
Now let us simplify this to get the value of a,
Adding 15 to both the sides,
[tex]-5+15<a-15+15<2+15[/tex]
[tex]10<a<17[/tex]
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.
