Solve |x|+7<4. A.) x B.) ∅ C.) {x|-3

Question

Solve |x|+7<4.

A.) x<-11 or x>-3

B.) ∅

C.) {x|-3

Answer 1

No solutions

Explanation:

Given inequality,

• |x|+7<4

To Find:

Value of x in the inequality.

Solution:

Add -7 to both sides

• = |x|+7+(−7)<4+(−7)
• = |x|<−3

Find absolute value

• No solutions

Why?

Reason:Because, absolute values can't be less than 0.