SOLUTION: Solve the inequality 4(2-x)>x-12 . Which is the graph of the solution?

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Question 554529: Solve the inequality 4(2-x)>x-12 . Which is the graph of the solution?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%282-x%29%3Ex-12 Start with the given inequality.


8-4x%3Ex-12 Distribute.


-4x%3Ex-12-8 Subtract 8 from both sides.


-4x-x%3E-12-8 Subtract x from both sides.


-5x%3E-12-8 Combine like terms on the left side.


-5x%3E-20 Combine like terms on the right side.


x%3C%28-20%29%2F%28-5%29 Divide both sides by -5 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C4 Reduce.


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Answer:

So the solution is x%3C4


The graph is



Note: there is an open circle at the endpoint.


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