Wednesday

July 23, 2014

July 23, 2014

Posted by **Amy~** on Tuesday, September 21, 2010 at 4:53pm.

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

I don't understand since theres x-1 in the denominator

- Math -
**Reiny**, Tuesday, September 21, 2010 at 5:13pmThe critical values are -2, 1 ,and 3 , with of course x ? 1

I then pick an arbitrary value in each of the regions and determine the sign of the answer, the actual answer does not matter.

e.g let x = -5

(-)(-)/(-1) < 0 , so x <-2 works

let x = 0 , a value between -2 and 1

(-3)(+).(-) > 0 , no good

let x = 2 , a value between 1 and 3

(-)(+)/(+) < 0 , good

let x = 5 , a value > 3

(+)(+)/(+) > 0 , no good

so

x < -2 OR 1 < x < 3

- Math -
**Amy~**, Tuesday, September 21, 2010 at 6:52pmso for this: (-)(-)/(-1) < 0 , so x <-2 works

you replace the 0 with -2 ? .

Also for this part let x = 5 , a value > 3

(+)(+)/(+) > 0 , no good

you had to change the sign because it was all positive?

**Related Questions**

Adding and Subtracting Rational Expressions - Can someone PLEASE show me how to ...

math - subtract: express your answer in simplest form. 5x-3/6 - (x+3)/6 answer ...

algebra - Solve for x x/6-x/8 equals 1 Do fraction busters Find the least common...

math 4th grade - Sue, we are trying to understand this ordering fractions from ...

Math - 1)If a (theres a square)b is defined as the average of a and b, what is ...

math,correction please.. - (x)/(x-2) - (x+1)/(x) = (8)/(x^2-2x) I keep getting x...

Math - I need to express the following in equivalent form: m-2/m^2-5m+6 , 2x+6/x...

Alegbra - who ever will help me I do not understand this problem? Solve each ...

Algebra - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this ...

math - the sum of numerator and denominator is 3 less than twice the denominator...