# inequality- why is this wrong?

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(x-3)/(x+1) > 5

i solved and got x < -2

• inequality- why is this wrong? -

it should be x>-3

• inequality- why is this wrong? -

Not so. If x=-5/2, y=11/3 < 5

(x-3)/(x+1) > 5
if x > -1,
x-3 > 5(x+1)
x-3 > 5x+5
-8 > 4x
x < -2
but, we assumed x > -1, so that's a no-go

If x < -1,
x-3 < 5(x+1)
x-3 < 5x+5
-8 < 4x
x > -2
So, we have -2 < x < -1

• inequality- why is this wrong? -

opps sorry made some calculation mistakes....

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