Question

HELP! PWEASE: How to solve rational inequalities????

Answer 1

\[\frac{ 2 }{ x+7 }>\frac{ 2 }{ x-3 }\]

Answer 2

\[\frac{ 2 }{ x+7 }-\frac{ 2 }{ x-3 }>0\]

Answer 3

subtract first

Answer 4

\[\frac{2(x-3)-2(x+7)}{(x+7)(x-3)}>0\]

Answer 5

then multiply out in the numerator and combine like terms
let me know what you get, we can go from there

Answer 6

\[\frac{ -20 }{ (x+7)(x-3) } >0\]

Answer 7

ok good
so the numerator is always negative
now see where the denominator is negative to make the whole fraction positive

Answer 8

(-7, 3)

Answer 9

exactly

Answer 10

:D

Answer 11

and that is your answer

Answer 12

thanks