Question

Which of the following is the solution to 4|x+2|>16

Answer 1

Answer:

x < - 6 or x > 6

Step-by-step explanation:

Inequalities of the type | x | > a, always have solutions in the form

x < - a or x > a

given 4| x + 2 | > 16 ( divide both sides by 4 )

| x + 2 | > 4 ← in the above form, hence

x + 2 < - 4 or x + 2 > 4 ( subtract 2 from both sides of both inequalities )

x < - 6 or x > 6 ← solution