# How do you solve and write the following in interval notation: #x - 48/x < -8#?

##### 2 Answers

#### Answer:

#### Explanation:

Put on a common denominator.

#x^2 - 48 < -8x#

#x^2 + 8x - 48 < 0#

Solve as an equation:

#x^2 + 8x - 48 = 0#

#(x + 12)(x - 4) = 0#

#x = -12 or 4#

Now select a test point, let it be

#1 - 48/1 <^? -8#

#1 - 48 < -8#

Therefore, the solution is

Hopefully this helps!

#### Answer:

The solution set is

#### Explanation:

We'll solve by a sign table (sign chart, sign analysis)

Make one side

Find the values of

The important point (the partition numbers) are

So the solution set is