precalculus
posted by derandra on .
solve the inequality and write the answer using interval notation
50/(x+4)+1<4x

50/(x+4) < 4x1
50 < (x+4)(4x1)
4x^2 + 15x  4 > 50
4x^2 + 15x  54 > 0
(x+6)(4x9) > 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.