Question

Solve the absolute value inequality:
|2x + 3| > 27

A) -12 < x < 12
B) x < -15 OR x > 12
C) x > 15 OR x < 15
D) -15 < x < 15

Answer 1

i think it's C

Answer 2

Our two equations are gonna be:

2x + 3 > 27

and

-2x - 3 > 27

---------------

2x + 3 > 27

Subtract 3 to both sides:

2x > 24

Divide 2 to both sides:

x > 12

---------------

-2x - 3 > 27

Ad 3 to both sides:

-2x > 30

Divide -2 to both sides:

Can you divide 30 / -2? @pigglet

Answer 3

-15

Answer 4

Yep, that gives us x < -15, we have to switch the sign because we're dividing by a negative number.

Answer 5

So our solutions are:

x > 12 and x < -15