How do you solve #2- 5( x + 1) \geq 4( x - 1) - 26#?

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Answer 1 · 2016-09-25T02:31:19

# x <= -3 #

We need to solve the equation by isolating the #x# variables.

First, we distribute # -5 # and # 4 # into the parenthesis. We get:

# 2 - 5x-1 >= 4x-1 -26 # (multiplied #-5# by x and #1# and multiplied #4# by x and #-1#)

Then we isolate the #x# values.

# -5x -4x >= -26 +1 -2 #

Now we combine like terms

#-9x >= -27 #

Now to isolate the x, we divide both sides by #9#. Whenever we divide or multiply both sides with a negative number we flip the inequality sign.

# x <= 3 #