Solve each inequality and give the solution in interval notation:
5-3 |2 x+8| lt -22
Solve each inequality and give the solution in interval notation:
5-3 |2 x+8| lt -22
5-3 |2 x+8| < -22 <==Is this what you want to solve?
Subtract 5 from both sides,
-3 |2 x+8| < -27
Divide both sides by -3, and change the direction of "<",
|2x+8| > 9
which is equivalent to
2x+8 > 9 => x > 1/2
and
2x+8 < -9 => x< -17/2
Answer: (-oo, -17/2) U (1/2, oo)