M6D4 Modeling with Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you represent a situation where a person wants to save at least a certain amount of money?

Back

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

Back

Front

What is the maximum number of pizza slices Wes can buy if he wants to spend under $15 on lunch?

Back

Front

What is the inequality that represents Adam's earnings if he makes at least $176?

Back

Front

How do you find the maximum number of items you can buy with a limited budget?

Back

Set up an inequality that represents the total cost of the items and solve for the variable representing the number of items.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What is the process to graph an inequality on a number line?

Back

To graph an inequality, first draw a number line. Then, use an open circle for '<' or '>' and a closed circle for '≤' or '≥'. Shade the region that satisfies the inequality.