((x-3)/(x+1)) > 5
I get x < - 2 everytime I solve it, but apparently this is wrong.
Can you please show me the steps? :/
multiply both sides by x+1, were x+1 is positive
(which means x > -1 )
x-3 > 5(x+1)
x-3 > 5x + 5
-4x > 8
x < -2
but we insisted that x > -1 , so NO GOOD
multiply be x+1 , where x+1 is negative
which means x< -1
x-3 < 5(x+1)
x-3 < 5x + 5)
-4x < 8
x > -2
so x > -2 AND x < -1
or -2 < x < -1
check:
1. take a value less than -2
say: let x = -10
LS = 7/-9
is -7/9 > 5 ?? NO, as we had
2. let x = -1/5
LS = -4.5/ -.5 = 9
is 9 > 5 , YES, as we had
3. let x = 10
LS = 7/11
is 7/11 > 5 , NO, as we had
so my answer of -2 < x < -1 is correct