Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

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

Back

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

Front

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

Back

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

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 is either smaller than or equal to the value on the right.

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides to get 4x > 12, then divide by 4 to find x > 3.

Front

When graphing the inequality x < 4, what type of dot is used?

Back

An open dot is used when graphing x < 4, indicating that 4 is not included in the solution.

Front

What does the inequality x ≤ 20 represent in a real-world context?

Back

It represents that you can spend no more than 20 dollars.

Front

What does the inequality x ≥ 48 represent in a real-world context?

Back

It represents that you must be at least 48 inches tall to ride the roller coaster.

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open dot at 3, and shade to the right to indicate all numbers greater than 3.