Question

Solve |2x - 6| > 10

A.x < -8 or x > 2
B.x
C.-2 < x < 8

Answer 1

`\text{Solve the absolute value:}\\\\\text{(Remember, there are two outcomes)}\\\\\text{First outcome:}\\\\2x - 6 > -10\\\\\text{Add 6 to both sides}\\\\2x>-4\\\\\text{Divide:}\\\\x<-2\\\\\text{Second outcome:}\\\\2x - 6 > 10\\\\\text{Add 6 from both sides}\\\\2x>16\\\\\text{Divide both sides by 2}\\\\x>8\\\\\boxed{\text{Answer: B.}\,x < -2 \,or \,x > 8}`