Question

Solve
|2x+8 > 10
x < [?] or x >[]

Answer 1

x < - 9 or x > 1

Explanation:

inequalities of the type | x | > a have a solution of the form

x < - a or x > a

| 2x + 8 | > 10 is of this type , then

2x + 8 < - 10 or 2x + 8 > 10 ( subtract 8 from both sides of each inequality) )

2x < - 18 or 2x > 2 ( divide both sides of each by 2 )

x < - 9 or x > 1