posted by Dee Williams on .
Solve Rational Inequalities
I cant figure this out. Please help.
numerator/denominator <0 which means the numerator and denominator are of opposite signs.
Case one: X>0
1a 0<x<2 denominator is +, numerator -, so this is valid.
1b 2<x<inf numerator and denomintor are +, inequality is not valid.
Case two X<0
2a -1 <x<0
numerator is negative, denom is +, so this range is valid for the identity.
numerator is +, dem is positve, this is an invalid domain.
2c -3<x<-2 numer is +, den is -, so this is a valid region
you do case 2d, -inf <x < -3