Writing Inequalities

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 'greater than or equal to'.

Front

How do you represent a situation where you want to have at least a certain amount of money left?

Back

You can represent this situation with an inequality that shows the initial amount minus withdrawals is greater than or equal to the desired amount.

Front

If you have $500 and withdraw $25 each week, how would you express the amount left after x weeks?

Back

The amount left after x weeks can be expressed as 500 - 25x.

Front

What is the first step to solve the inequality 500 - 25x ≥ 200?

Back

The first step is to isolate the variable x by subtracting 500 from both sides.

Front

What does the inequality 100x + 50 ≤ 500 represent in a real-world context?

Back

It represents the total cost of hiring a bus for x hours, including a fixed driver fee, which must not exceed $500.

Front

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

Back

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

Front

What is the inequality that represents spending no more than $10 on vegetables and a basket costing $5.50?

Back

The inequality is 3p + 5.5 ≤ 10, where p is the pounds of vegetables.

Front

What does the term 'minimum hours needed' imply in an inequality context?

Back

It implies that the total earnings from working those hours must be at least equal to the required amount.

Front

How do you express the relationship between total spending and budget in an inequality?

Back

You express it by setting the total cost less than or equal to the budget.