Question

|2x+7|<27 solve the inequality

Answer 1

2x + 7 < 27

2x< 20

x < 10

-2x - 7 < 27

-2x < 34

x > -17

-17 < x < 10

Answer 2

`-17<x<10`

X lies between -17 and 10

(-17,10)

Explanation:

`|2x+7|<27`

Solve the above inequality for x

To solve absolute inequality we take positive and negative

`If |u|<a, a>0 then -a<u<a`

`|2x+7|<27`

`-27<2x+7<27`

Now make x alone in the middle of the inequality

Subtract 7 on all the sides

`-34<2x<20`

Now divide all the sides by 2

`-17<x<10`

X lies between -17 and 10

(-17,10)