|3x-3| < 18

Question

what is the solution of |3x-3| < or equal to 18

Answer 1

due to the absolute value, you need two equations

3x - 3 < or equal to 18     and 3x - 3 > or equal to -18

solve each equation by adding 3 to both sides and then divide by 3

3x<21 and 3x >-15

becomes x<7 and x>-5

written as a compound inequality   -5 < x < 7  (or equal to)

Answer 2

|3x - 3| < 18  Please remember, write this down, there is only one rule for inequalities.

WHEN YOU MULITPLY OR DIVIDE BY A NEGATIVE NUMBER THE SIGN HAS TO BE FLIPPED.

3x - 3 < 18           or               3x - 3 > -18

3x < 21                or                3x >-15

x < 7                    or                  x > -5