# How do you solve #(x+68)/(x+8)>=5#?

##### 2 Answers

#### Explanation:

Given:

#(x+68)/(x+8) >= 5#

Subtract

#0 >= 5-(x+68)/(x+8) = (5(x+8)-(x+68))/(x+8) = (4x-28)/(x+8) = (4(x-7))/(x+8)#

Note that the right hand side is a function which is continuous and non-zero except at

When

When

When

When

So the solution set is:

#x in (-8, 7]#

The solution is

#### Explanation:

We cannot do crossing over.

So, we simplify the inequality

Let

We can build the sign chart

Therefore,