# Inequalities and Equations!

### By: Maria S.

## One Step Inequalities!

Examples:

1. Amy has 10 Macaroons for her macaroon party. She needs at least 50 macaroons. How many more does she need?

So the question is...

x+10 greater than or equal to 50. So we need to solve for x. To solve x, we need to do** ****inverse operation. **

First, we need to find out what operation is being done. Since we are adding, we have to subtract. So 50-10=40, that means that the answer is x greater than or equal to 40. If we plug in 40 and the inequality makes sense, that proves our answer is correct

Now we will try an inequality without a word problem

2. y x 20 greater than or equal to 40. So we need to use inverse operation and divide. 40 divided by 20= 2. That means x is greater than or equal to 2. If we plug in 2 as x and the inequality makes sense, that peoves our answer is correct.

## One Step Equations!

Examples:

1. Andrea has 10 Macarons. She needs a total of 20 macarons. How many macarons does she need? So the equation is x+10=20. To solve this, we must use inverse operation. Since we are adding, we must subtract. So we subtract 10 from both sides. 20-10=10. If we plug in 10 as x, it makes sense. That proves our answer is 10.

2. x•3=15

To solve this, we use inverse operation, just like the other one. But we are multiplying in this one, so we have to divide. 15 divided by 3=5. If we plug in the 5 as x, the equation makes sense. This proves our equation is correct.