Tuesday

September 30, 2014

September 30, 2014

Posted by **Dee Williams** on Tuesday, November 7, 2006 at 9:08pm.

x^2-x-2/x^2+5x+6<0

I cant figure this out. Please help

First try to factor whenever you can to determine critical solutions:

(x - 2)(x + 1) / (x + 3)(x + 2) < 0

Critical solutions:

x = 2

x = -1

x = -3

x = -2

Test 5 intervals using a number line:

<==== -3 == -2 == -1 === 0 ====== 2 ===>

x < -3 ...let's choose -4. If we choose -4 for x, the result will be positive and not less than 0.

-3 < x < -2 ...let's choose -5/2. If we choose -5/2 for x, the result will be negative and less than 0.

-2 < x < -1 ...let's choose -3/2. If we choose -3/2 for x, the result will be negative and less than 0.

-1 < x < 2 ...let's choose 0. If we choose 0 for x, the result will be negative and less than 0.

x > 2 ...let's choose 3. If we choose 3 for x, the result will be positive and not less than 0.

Three of the tests work. If you are familiar with interval notation, the solution set can be written this way:

(-3,-2)U(-2,-1)U(-1,2) -->U = union of sets.

**Answer this Question**

**Related Questions**

Math - 1.3x^2+17x+10 2.5y^8-125 3.a^2-2ab-15b^2 *Please help me.You have to ...

Simplifying Rational Expressions - 1. 4x-12/4x 2. d+7/d^2-49 3.t2-25/t^2+t20 4....

intermediate algebra - use the discriminant to determine whether the following ...

Intermediate Algebra - Please Help!! Use the discriminant to determine whether ...

algebra - 3ax^2 - 27a You can factor that into 3a (x^2 - 9), which also equals ...

Pre Algebra - use the discriminant to determine whether the following equations ...

Math 111 (College Algebra) - Rational number or irrational? And why? I have been...

Algebra - Can someone help me with this question? Use the discriminant to ...

Algebra 3 - Trying to solve this rational inequality but can't figure how to ...

calculus-derivatives - Hello, please help me. I needed to find the derivative of...