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 equal to the other.

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 are two solutions to the inequality x < 8?

Back

Any numbers less than 8, such as 7.8 and 5.9.

Front

Which value is NOT a solution to x < 8?

Back

8 is NOT a solution because it is equal to 8, not less than 8.

Front

How do you represent the solution to the inequality 5w ≥ 30 on a number line?

Back

The solution is w ≥ 6, represented by a closed circle at 6 and shading to the right.

Front

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

Back

Add 2.7 to both sides: h ≤ 9.7.