Solving Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

How do you solve the inequality 6 + 2h > 30?

Back

Subtract 6 from both sides: 2h > 24. Then divide by 2: h > 12.

Front

If Sam makes $10.25 per hour, how do you write the inequality for buying a $550 laptop?

Back

10.25h ≥ 550, meaning Sam needs to work at least 54 hours.

Front

How do you solve the inequality 10.25h ≥ 550?

Back

Divide both sides by 10.25: h ≥ 54.

Front

What is the maximum number of hours you can park if parking costs $4.50 per hour and you have $18?

Back

You can park for at most 4 hours, so x ≤ 4.