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
Respond to this Question
Similar Questions

algebra
w10y12z _______ w6z5 Are those exponents like [(w^10)*(y^12)*z]/[(w^6)*(z^5)]? 
Simplifying Rational Expressions
1. 4x12/4x 2. d+7/d^249 3.t225/t^2+t20 4.2x^2+6x+4/4x^212x16 5.6y/y^22y24 Can someone help me with these,please,lol,I'm brain dead Try to factor where you can, then simplify as much as you can. I'll show you the first two problems; … 
algebra 2
Find the LCD for the following pairs of rational expressions. numerator 8 divided by denominator x negative 13 and numerator 7 divided by denominator x plus 15 
Math
Help me!;/ 1) my numerator is 6 less than my denominator. I am equivalent to 3/4. 2)my denominator is 5 more than twice my numerator. I am equivalent to 1/3. 3)the gcf of my numerator and denominator is 3. I am equivalent to 2/5. 4)the … 
Math advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs … 
advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs … 
advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs … 
math
the sum of numerator and denominator is 3 less than twice the denominator.If the numerator and denominator is decreased by 1 , the numerator becomes half the denominator.Find the fraction? 
Math
The product of my numerator and my denominator is divisible by 2 .my denominator and my numerator differ by 3. My numerator is an even number .my denominator is a prime number.I am:______ 
Math Mysteries....
I need some help on some of these, finding which fraction it would be with clues. I answered some, but some I need help on: 1. My numerator is 6 less than my denominator I am equivalent to 3/4. My answer to number 1: 6/12 2. My denominator …