# Math Help - solve the inequality

1. ## solve the inequality

Solve the inequality

(4-2x) / (x+5) <= 2

is this correct??

4 - 2x <= 2(x + 5)
4 - 2x <= 2x + 10
4 <= 4x + 10
-6 <= 4x
-6/4 <= x

x => -3/2

2. That is correct.

3. ok thanks

4. that is not correct!

for example number -6 also solves the inequality but isn't contained in your result.
first step is wrong. you have to distinguish cases x>= -5 and x< -5.

5. oh ok
x<5, x=>-3/2

6. answer should be: $x< -5$ or $x \ge -\frac{3}{2}$

7. ok awesome
thats what i ment to right
forgot the negative in front of the 5
thanks heaps