OpenStudy (fanduekisses):

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

2 years ago
OpenStudy (fanduekisses):

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

2 years ago
OpenStudy (fanduekisses):

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

2 years ago
OpenStudy (anonymous):

subtract first

2 years ago
OpenStudy (anonymous):

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

2 years ago
OpenStudy (anonymous):

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

2 years ago
OpenStudy (fanduekisses):

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

2 years ago
OpenStudy (anonymous):

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

2 years ago
OpenStudy (fanduekisses):

(-7, 3)

2 years ago
OpenStudy (anonymous):

exactly

2 years ago
OpenStudy (fanduekisses):

:D

2 years ago
OpenStudy (anonymous):

and that is your answer

2 years ago
OpenStudy (fanduekisses):

thanks

2 years ago