One and Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is the first step in solving the inequality 3x - 5 ≥ 10?

Back

Add 5 to both sides: 3x ≥ 15.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

You must flip the inequality sign. For example, if -2x < 6, dividing by -2 gives x > -3.

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step inequality?

Back

A two-step inequality requires two operations to solve, such as first adding or subtracting, then multiplying or dividing.