Question

what is the solution set of the inequality
5-|x+4|<-3?

Answer 1

The inequality is .

Subtract 5 from each side.

Multiply each side by negative 1 and reverse the inequality symbol.

The absolute value inequality is equivalent to .

Solve the inequality 1: .

Subtract 4 from each side.

.

Solve the inequality 2: .

Subtract 4 from each side.

.

The solution set is .