how do i solve:

1)

4 - x

---------- < 0

(x-3)(x+2)

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- Jul 27th 2006, 09:29 PMbigstarzInequalities
**how do i solve:**

**1)**

4 - x

---------- < 0

(x-3)(x+2) - Jul 28th 2006, 04:23 AMtopsquarkQuote:

Originally Posted by**bigstarz**

-Dan - Jul 28th 2006, 07:00 AMThePerfectHackerQuote:

Originally Posted by**bigstarz**

Whenever you have a faction it is negative when the signs or numerator and denominator do not match (one positive and one negative).

Thus, there are two possibilities

(1)

OR

(2)

Solving (1),

The second inequality,

has solutions,

Combining these solutions together (find their intersection in strict terms) and you have,

Solving (2),

The second inequality,

has solutions,

Combining these solutions together (find their intersection in strict terms) and you have,

(cuz first inequlaity is contained in this one).

Thus,