Question

What is the solution to the inequality in interval notation? |4x+6|≤14

A: [-2,5] B: (-∞, −2] ∪ [5,∞) C: (-∞,-5] ∪ [2,∞) D: [-5,2]

Answer 1

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

Multiply

-4x-6 = 14

Rearrange and Add up

-4x = 20

Divide both sides by 4

-x = 5

Multiply both sides by (-1)

x = -5

Which is the solution for the Negative Case

(4x+6) = 14

Rearrange and Add up

4x = 8

Divide both sides by 4

x = 2

x=-5

x=2