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

When you have an absolute value inequality of the form
|A| < b,
where A is an expression in x and b is a number, solve the compound inequality:
-b < |A| < b

Answer 2

In this case, the expression in x is 2x + 4, and the number is 10, so to solve
|2x + 4| < 10,
solve:
-10 < 2x + 4 < 10

Answer 3

oh okay so what's the answer? @mathstudent55

Answer 4

it's a timed test I only have 2 mins left

Answer 5

Take
-10 < 2x + 4 < 10 and start by subtracting 4 from all three sides.