# Math

Find the range of value of X for each for the following inequalities

8-4x/x+5>1-x

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1. (8-4x)/(x+5) > 1-x

If x+5 > 0,
8-4x > (x+5)(1-x)
8-4x > -x^2-4x+5
x^2+3 > 0
This is true for all x, but the initial condition was that x > -5. So, that is the domain: x > -5

If x+5 < 0,
8-4x < (x+5)(1-x)
8-4x < -x^2-4x+5
x^2 < √3
But, we said x < -5, so no solutions hers.

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posted by Steve

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