Question

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

Answer 1

The given inequality is

`| 9x+ 10 | <15`

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

`image`

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

`(-25)/(9)< x< (5)/(9)`

So the required solution is

`( (-25)/(9) , (5)/(9))`