Question

Which of the Following is the solution to 4|x+3| greater than equal to 8? Options are as followed: A.x less then equal to -5 or x greater than equal to -1 B. x greater than equal to -1 C.x less then equal to -5 and x greater than equal to -1 D. x greater then equal to -5 and x greater then equal to -1

Answer 1

A

Explanation:

4|x+3| >= 8

Divide both sides by 4

4|x+3| / 4 >= 8/4

|x+3| >= 2

Rewritten as

-2 >= x + 3 >= 2

Subtract 3 from all sides

-2 - 3 >= x + 3 - 3 >= 2 - 3

-5 >= x >= -1

Or

-1 <= x <= -5

x less then equal to -5 or x greater than equal to -1