Question

How do you solve `|2x + 3| + 6= 11`?

Answer 1

`x = 1, x= =4`

Explanation:

The answer is not as simple as it seems. When dealing with absolute value questions you need to do case 1 and case 2 (positive and negative values within the brackets).

Case 1

`(2x+3) +6 =11`

`2x + 9 =11`

`2x = 2`

`x= 1`

Case 2

`-(2x+3) +6 =11`

`-2x -3 +6 =11`

`-2x = 8`

`x =-4`