Question

HELP!

What is the solution set of |2x + 1| > 5?

A x

B –1 < x < 3

C x > 2 or x < –3

D x < 2 or x > –3

Answer 1

C

Explanation:

Inequalities of the form | x | > a have solutions of the form

x < - a OR x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both )

2x < - 6 OR 2x > 4 ( divide both sides of both by 2)

x < - 3 OR x > 2

Solution set is

x → C

Answer 2

Answer choice C

Explanation:

When the values of x are greater than 2, the solution works. When the values oclf x are less than 3, the solution also works. :)