One-Step Inequalties

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, greater than or equal to, or less than or equal to the other.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is 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 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 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 less than or equal to 2.

Front

How do you solve the inequality b ÷ 2 > 4?

Back

Multiply both sides by 2: b > 8.

Front

If a room can hold a maximum of 400 people and there are already 134 people, what inequality represents how many more can come?

Back

x + 134 ≤ 400.

Front

Solve the inequality x + 5 > 7.

Back

Subtract 5 from both sides: x > 2.

Front

Solve the inequality y - 13 ≤ -15.

Back

Add 13 to both sides: y ≤ -2.

Front

Solve the inequality m - 3 > -8.

Back

Add 3 to both sides: m > -5.