SOLUTION: 3x-1/x-7 is less than or equal to 4 inequality problem using infinity

Question 353487: 3x-1/x-7 is less than or equal to 4 inequality problem using infinity
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Break up the number line into 3 regions using the critical points from the equation.
Region 1:(,)
Region 2:(,)
Region 3:(,)
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For each region pick a test point (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution region.
Region 1:

True, this region is part of the solution.
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Region 2:

False, this region is not part of the solution.
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Region 1:

True, this region is part of the solution.
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Solution region: (,) U (,)
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