Question

What is the solution set of |2x + 4| < 12?

x > 8 and x < 4

x > –4 and x < 4

x < 4 and x > –8

x < –4 and x > 4

Answer 1

\[\large{|2x+4| < 12}\]
\[\large{2x+4 < 12}\]
\[\large{2x+4-4<12-4}\]

Answer 2

Continue by this method what you get @Surferbumm ?

Answer 3

\[\left| 2x+4 \right|<12\]
EQUALS TWO THINGS when the absolute value sign is removed...
First
\[2x+4<12\]
and
Second
\[-1*(2x+4)<12\]

Answer 4

so would it be x > 8 and x < 4 ?

Answer 5

make sure that when you divide by -1 you switch the direction of the inequality sign.

Answer 6

\[-1*(2x+4)<12\]
Becomes
\[2x+4>-12\]