SOLUTION: x+4�x-2<2�x+1

Question 981360: x+4�x-2<2�x+1
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
If you mean the way you wrote it, then

The two zeros and the undefined x value give three critical values which form the x-number line into four intervals:
The critical values are 0, 1, 2.
The intervals on the x-axis are (-infinity,0), (0,1), (1,2), (2, infinity).

Test any value in each of the intervals and find if it satisfies or not, the inequality.

Trying x=-1,

TRUE for (-infinity,0).

Try ,

FALSE for (0,1).

Try ,

TRUE for (1,2).

Try 4,

FALSE for (2, infinity)

This is not yet completely solved. The value for x at 0 cannot be used or included, but the roots of the numerator in the single expression mean that x at 1 and x at 2 SHOULD still be checked, just to be sure of any more thorough solution.

You could try that...
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