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

If x+4 > 0, we can multiply and not change the direction of the inequality:
4x^2 + 15x 54 > 0
(4x9)(x+6) > 0
for x > 9/4 that is true
If x+4 < 0, e change the direction of the inequality, and have
(4x9)(x+6) < 0
Unfortunately, whe have no values for x that satisfy the condition and the inequality.
So, x in (9/4,oo) is the only interval