Writing 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?

Back

The symbol '≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another value.

Front

How do you represent a situation where you have a budget limit?

Back

You can represent it using an inequality where the total cost is less than or equal to the budget.

Front

If Monica and Rachel have $30 and spend $8 on lattes, how do you express the cost of muffins they can buy?

Back

The cost of muffins can be expressed as 2.00m + 8.00 ≤ 30, where m is the number of muffins.

Front

What is the first step to solve the inequality 2.00m + 8.00 ≤ 30?

Back

Subtract 8.00 from both sides to isolate the term with m: 2.00m ≤ 22.00.

Front

How do you find the maximum number of items you can buy with a budget?

Back

Set up an inequality that represents the total cost and solve for the number of items.

Front

What is the inequality for Ross buying fruits if he spends no more than $15?

Back

The inequality is 4p + 6.5 ≤ 15, where p is the pounds of fruit.

Front

How do you express the total cost of hiring a bus for a field trip?

Back

The total cost can be expressed as 100x + 50 ≤ 500, where x is the number of hours hired.

Front

What does the inequality 10x + 30 ≥ 200 represent for Phoebe?

Back

It represents the minimum hours Phoebe needs to play music to afford the guitar after considering her savings.