Question

What is the solution set of |2x + 4| < 10?
x > 3 and x < –7

x > –7 and x < 3

x < 3 and x > –3

x < –7 and x > 7

Answer 1

you will need to solve two inequalities:

\(\large 2x+4<10 \) and \(\large 2x+4=-10 \)

Answer 2

The way I always do these problems is separate it into two cases: when 2x+4 is positive, and when 2x+4 is negative. Then just solve each, and there you go.

Answer 3

that second one should be: \(\large 2x+4>-10 \)