Question

Solve the inequality. Then graph the solution set.
| 4x - 8 | > 12

4x - 8 < -12 or 4x - 8 > 12


{x| x < -1 ∪ x > 5}

{x| x < -1 ∩ x > 5}

{x| x > -1 ∩ x < 5}

{x| x > -1 ∪ x < 5}

Answer 1

| 4x - 8 | > 12 set up to solve like this due to the absolute value
-12> 4x - 8 > 12 solve like two problems...solve for x
-12+8>4x>12+8
-4>4x>20 divide by for to get x by itself
-1>x>5

{x| x < -1 ∩ x > 5}