# How do you solve #x(2x+7) >=0#?

##### 2 Answers

#### Explanation:

Distribute

Now we need to find the critical points of the inequality!

We need to factorize this again

#x(2x+7)=0

Set factors equal to

Now we need to check the intervals between the critical points!

Thus,

The answer is:

Use the Sign Chart Method

):

#### Explanation:

Factor (make sure it is equal to zero) and Solve; this is already factored and equal to zero:

Pretend the inequality sign is an equal sign:

Plot these on a number line:

The two points create

Write in interval notation:

(Use brackets as the answer can be equal to)