Question

What is the solution set of |2x + 4| < 10?

Answer 1

x > 3 and x < –7

x > –7 and x < 3

x < 3 and x > –3

x < –7 and x > 7

Answer 2

When you have an absolute value with the inequality pointing at the absolute value, you need to set up the problem as -10 < 2x+4 < 10. Your absolute value goes in between the negative part and the positive part. If that makes sense.

Answer 3

An absolute value inequality of the form
\( | X | < b \)
where X is an expression in x, and b is a number is solved by solving this compound inequality:
\( -b < X < b\)

Answer 4

so is it b?

Answer 5

-10 < 2x+4 < 10
-14 < 2x < 6
-7 < x < 3
This is B. You are correct.