Solving and Graphing One-Step Inequalities

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 not equal to the other.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x can be any number 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 can be any number greater than or equal to 2.

Front

How do you solve the inequality x - 4 ≤ 6?

Back

Add 4 to both sides: x ≤ 10.

Front

What are two solutions to the inequality x < 8?

Back

Any numbers less than 8, such as 0.8 and 5.9.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the solution to the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What is the solution to the inequality 7n > 49?

Back

Divide both sides by 7: n > 7.