How do you solve # 3(x - 4) > -2#?

2 Answers
Alan P.
May 7, 2015

Things y0u can do to both sides of an inequality without effecting the orientation of the inequality:

  1. Add or subtract any value
  2. Multiply or divide by any value greater than zero

#3(x-4)> -2#

Divide by 3
#x-4>-2/3#

Add 4
#x > 4-2/3#
or
#x>3 1/3#

Meave60
May 7, 2015

Solve #3(x-4) > -2# .

Distribute the #3#.

#3x-12> -2#

Add #12# to both sides.

#3x-12+12> -2+12# =

#3x> 10#

Divide both sides by #3#.

#(cancel(3)x)/cancel3> 10/3# =

#x> 10/3#

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