# precalculus

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solve the inequality and write the answer using interval notation

50/(x+4)+1<4x

• precalculus -

50/(x+4) < 4x-1
50 < (x+4)(4x-1)
4x^2 + 15x - 4 > 50
4x^2 + 15x - 54 > 0
(x+6)(4x-9) > 0
critical values are x = -6 , x = 9/4

A quick test for values in each of the 3 domains shows
x < -6 OR x > 9/4

I will let you translate the above into the interval notation you use.

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