Intermediate Algebra
Square both sides of the inequality to get rid of the absolute value, then simplify and solve the resulting quadratic inequality
Subtract 44 from both sides to remove the 44 inside the absolute value so that you can directly rewrite the inequality
Multiply both sides by the sign of x+4x + 4 to eliminate the absolute value
Add 22 to both sides to isolate the absolute value, yielding ∣x+4∣<9|x + 4| < 9