Please check my answers:
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.
7. (x-5)/(x+2)>0
this is what I got:
x-5=0 or x+2=0
(I added 5) (I subtracted 2)
got: 5>0 or -2>0
graph (-∞, -2) or (5, ∞)
8. (-x+8)/(x-3) > or equal to 0
this is what I got:
-x+8 = 0 x-3=0
(I subtracted 8, then divided by -1) (I added 3)
I then got x=8 x=3
graph: (3, 8]
9. (2)/(x-2) < 1 (I wasnt too sure how to do this one)
graph: (2, 4)
10. (10-2x)/(4x+5)< or equal to
this is what I got:
10x-2x=0
I subtracted 10, then divided by -2x and x=5
4x+5=0
I subtracted 5, then divided by 4x, and x= -5/4
graph: (-∞, -5/4) or [5, ∞)