# Inequalities and Equations!

## One Step Inequalities!

One step inequality is an inequality that can be solvable.

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!

One step equations are a lot like one step inequalities, except without the inequality sign.

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.