Question

Solve the inequality algebraically. Write the solution in interval notation. |9x + 10| < 15

Answer 1

The given inequality is

$| 9x+ 10 |$

First we need to remove the absolute sign , and when we do so , we will get a compound inequality, that is

$-15< 9x+10 < 15$

To solve for x, first we need to get rid of 10. and for that, we have to do subtraction

$-15-10$

Now we need to get rid of 9, and for that, we do division

$\frac{-25}{9}< x< \frac{5}{9}$

So the required solution is

$( \frac{-25}{9} , \frac{5}{9})$