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, or equal to the other. It uses symbols like >, <, ≥, and ≤.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

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

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

How do you represent a situation where a person wants to have more than 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, similar to solving an equation.

Front

How do you interpret the solution of an inequality?

Back

Front

What is a real-world example of using inequalities?

Back

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution.