Inequality Word Problems

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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent a situation where a number must be at least a certain value?

Back

Front

How do you represent a situation where a number must be no more than a certain value?

Back

Front

If a gallon of orange juice costs $3.50, how do you find the maximum number of gallons you can buy with $15?

Back

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality by performing the same operations on both sides.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all possible values of the variable that make the inequality true.

Front

How do you graph an inequality on a number line?

Back

You use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Then shade the region that satisfies the inequality.

Front

What is a word problem involving inequalities?

Back

A word problem involving inequalities is a real-life scenario where you need to find a range of possible values that satisfy certain conditions.