How do you solve #6( x - 3) - 4( x + 1) \geq 2x - 13#?

1 Answer
Carl S.
Apr 11, 2018

There is no solution

Explanation:

Expand and simplify.

#6(x-3)-4(x+1) geq 2x-13#
#6x-18 - 4x - 4 geq 2x-13#

#2x-22 geq 2x-13#

#-9 geq 0#

Now this is obviously absurd so the inequality does not hold.

There is no solution for this. If you graph #y=(6x-3)-4(x+1)# and #y=2x-13# you can see that the two lines are parallel and never intersect and that #y=2x-13# is always greater.

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