Inequalities Review

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 '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

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

Back

Subtract 6 from both sides to get -2h > 24, then divide by -2 and flip the inequality sign to get h < -12.

Front

How can you represent a situation where a student volunteers no less than 5 hours each week?

Back

You can represent this situation with the inequality X ≥ 5, where X is the number of hours volunteered.

Front

If you have a budget of $210 for a gym membership that costs $60 plus $40 per month, how do you set up the inequality?

Back

The inequality is 60 + 40m ≤ 210, where m is the number of months.

Front

How do you find the maximum number of months you can afford the gym membership?

Back

Solve the inequality 60 + 40m ≤ 210 for m.