Solve the inequality and express the solution in terms of intervals:

x-2/3x+5 ≤ 4
This is how I did it:
x-2/3x+5 - 4(3x+5) ≤ 0
x-2-12x-20/3x+5 ≤ 0
-11(x+2)/3x+5 ≤ 0
Can you please tell me if the answer is right and if so then how do we express the solution in terms of interval?
Like this? (-5/3, -2) ?

1 answer

math is ok, but intervals have the smaller value first.

Also, you have a closed interval, since it's ≤ and not <. So your interval is

[-2,-5/3]