One-Step Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What is the solution to the inequality x + 9 > 17?

Back

Subtract 9 from both sides: x > 8.

Front

What are two solutions to the inequality x < 8?

Back

Examples of solutions include 7.8 and 5.9.

Front

How do you graph the inequality x < 3?

Back

Use an open circle at 3 and shade to the left.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution.

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution.

Front

Does x + 5 > 21 hold true when x = 15?

Back

No, because 15 + 5 = 20, which is not greater than 21.