Algebra
posted by Dee Williams .
Solve Rational Inequalities
x^2x2/x^2+5x+6<0
I cant figure this out. Please help.
numerator (x2)(x+1)
denominator (x+3)(x+2)
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.
numerator (x2)(x+1)
denominator (x+3)(x+2)
Case two X<0
2a 1 <x<0
numerator is negative, denom is +, so this range is valid for the identity.
2b 2<x<1
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
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