Answer
The solution is
-3 < x < 3
Step-by-step explanation
To solve an expression with the absolute value symbol. we obtain two solutions for it.
We first solve when the other side of the equation to the absolute value symbol has positive sign.
Then, we obtain another solution by setting that other side (the right-hand side) to negative. For equations involving inequality signs, the second solution usually changes the inequality sign.
| 2x + 3 | < x + 6
First solution
2x + 3 < x + 6
2x - x < 6 - 3
x < 3
Second solution
2x + 3 > -(x + 6)
2x + 3 > -x - 6
2x + x > -6 - 3
3x > -9
Divide both sides by 3
(3x/3) > (-9/3)
x > -3
So, the solution written together,
x > -3 and x < 3
together, it is
-3 < x < 3
Hope this Helps!!!