SOLUTION: Solve the inequality {{{(3-x)/(x-4)>=2}}}

Question 705583: Solve the inequality

Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
What you really want to ask about is the adjusted inequality.

If x-4 is positive, then
3-x>=2x-8
3+8>=3x
11>=3x
11/3>=x

If x-4 is negative, then . Check that carefully to understand before continuing.
3-x>=8-2x
3-8-x>=-2x
3-8>=-2x+x
-5>=-x
5<=x [(watch what that says carefully].

OR
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