What are inequalities? A math statement comparing expressions that may or may not be equivalent.

What is the difference between inequalities and equations? Equations only have one solution and inequalities can have multiple.

Symbols: You may see these symbols <, >, ,

So this is x is less then 4: x<4 So we know x can be any number lower then 4 such as 3,2,1,0,-1,-2, ect…

So this is x is more then 4: x>4. So we know x can be any number greater than 4 such as 5, 6, 7, 8, 9, 10, ect…

If the less then greater then symbol has a line under it ( or ) means its less (or more) then or **EQUAL** to a number:

So this is x is less then or equal to 7: x 7

And this is x is more then or equal to 7: x 7

Graphing inequalities: If you had to graph x>7 You would draw a line and put seven on it then put an arrow pointing to the right because its any number bigger then seven (Because 7 is less then x). The boundary point when graphing is a dot so in x>7 the 7 would be the boundary point (where you put the dot). If it is this < or > you draw a closed dot, if it is this or this it would be a closed dot.

Example:

How to solve- dividing by negatives: When dividing by negatives the symbol flips so if it was < it would become >.

Example:

How to check a solution: There is two ways to check a solution. The first way is to check another number so if your answer was x>5 you would put in any number greater then 5 such as 6 so x would be replaced by six so 6>5 this is a true statement so you know you got the right answer.

Click for the Example: medium (30)-1qna2a3

The second way is to replace x is to replace it with the answer so if you get x>5 you would resolve the equation replacing x with 5. So if the original equation was 3x-411 and you think x5.

You would replace x with 5 example: 3(5)- 411 change the to an = and solve 15 – 4 = 11 11 = 11

Click for the Example: medium (1)-1tftdaw