Inequalities Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, 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

How do you solve the inequality x - 8 < -24?

Back

Add 8 to both sides: x < -16.

Front

What is the solution to the inequality 2x < -32?

Back

Divide both sides by 2: x < -16.

Front

If the maximum speed limit is 45 mph, how can we express this as an inequality?

Back

s < 45, where s represents speed.

Front

What is the solution to the inequality 3x - 7 < 8?

Back

Add 7 to both sides: 3x < 15, then divide by 3: x < 5.

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 graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.