# Inequalities Reflection

## How can I write an inequallity?

To write an inequality, you have to look at the question and figure out if the inequality is saying if the variable is less than, less than or equal to, greater than, or greater than or equal to. For example:

You want to buy candy for \$2 each but you must spend less than \$7. What is the most candy you can buy?

You first look for key words in the problem. The word less than means its smaller than the number 7. So we know the sign is <. Next we find the variable. We use the letter x to show the amount of candy, which is unknown, and then we put \$2 next to the variable to show the cost of the candy. So now, we have 2x < 7.

## How can I solve an inequallity?

Solving an inequality is very similar to solving an equation. However, an inequality does not show an equal sign. Instead, there is a less than, less than or equal to, greater than, and greater than or equal to.

You have \$33 and plan to go to the movies with your friends. Each ticket costs \$4 and you buy snacks for \$9. How many friends can you take while spending less than \$33?

First you have to get rid of the constant. You subtract it by itself on both sides of the sign.

Then you divide 4 on both sides because you want to know the value of one x.

If there is a multiplication or division of a negative, you flip the sign.

## How can I graph an inequality?

To graph an inequality, you put it on a number line with an arrow. You put a circle on the number, for example, 3. Then you draw in arrow depending on if it is saying greater than or less than. If it is less then, the arrow goes left. If it is greater than, the arrow points right. If the sign has a line underneath, that means it is equal to or greater than or less than. You fill in the circle if the sign has a line.