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'. For example, x < 5 means x is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What type of circle is used to graph x < 3?

Back

An open circle is used to graph x < 3, indicating that 3 is not included.

Front

What is a solution to the inequality x < 8?

Back

Any number less than 8, such as 7.8 or 5.9.

Front

How do you graph the inequality h - 2.7 ≤ 7?

Back

First, solve for h: h ≤ 9.7. Then, graph with a closed circle at 9.7.

Front

What is the solution set for the inequality x > -6?

Back

The solution set includes all numbers greater than -6.