What is an Inequality?
A inequality is an equation where instead of the = sign you have <,>,≤,≥

What do the symbols mean?
< This is the greater than symbol, if you see this it means that what is on the right side is larger then what is on the left
> This is the Less than symbol, if you see this it means that what is on the left side is larger then what is on the right.
≤ This is the Greater or equals to symbol, if you see this it means that whatever is on the right side of the symbol is larger or the same as what is on the left side.
≥ This is the Less then or equals to symbol, if you see this it means that whatever is on the left side of the symbol is larger or the same as what’s on the right side.

How to solve Inequalities
You solve inequalities the same way you would solve an equation. Using legal moves to get your final answer. For my example, I have 6p+2 < -112 . First, I took away 2 from each side making the question 6p < -114. Next I divided both sides by 6 to get p< – 19.

How to check your Answer
Checking your answer is also the same way you would check your answer with an equation. On the question above I got -19 as my answer. To check if I got the right answer you put -19 in the place of p making the question 6 (-20) + 2 < -112. First I multiplied the 6 and -20 on the left to make the question -120 + 2 < -112. I added up the -120 and 2 on the left to make the question -118 < – 112. From this you just have to see if this is a true statement. In this case -118 is smaller then -112 so the statement is correct making the answer correct.

How to graph inequalities
There are two important parts to remember when putting inequalities on a number line. Firstly is to pay attention to which way the signs are facing. If you are plotting something with a < your lines go to the left. If you are plotting something with a > your line goes to the right. Secondly you have to pay attention to whether your inequality has a line underneath it. If your inequality has ≤ or ≥ then you need to leave your mark for example on a 9 empty in the middle or uncolored in.