Writing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

How do you represent a situation where the total cost must be at least a certain amount using a linear inequality?

Back

You can represent it as: total cost ≥ minimum amount.

Front

Write the inequality for selling 3 senior citizen tickets and 2 child tickets for at least $42.

Back

Front

If you earn $7.50 per hour babysitting and $6 per hour tutoring, how do you express the requirement to earn at least $85?

Back

Front

What does the symbol '≥' mean in a linear inequality?

Back

It means 'greater than or equal to', indicating that the left side can be equal to or exceed the right side.

Front

How do you express a budget constraint in a linear inequality?

Back

You express it as: total spending ≤ budget amount.

Front

Write the inequality for spending at most $12 on daisies and tulips, where daisies cost $2 each and tulips cost $3 each.

Back

Front

What is the difference between '>' and '≥' in linear inequalities?

Back

'>' means strictly greater than, while '≥' means greater than or equal to.

Front

How do you represent a situation where you have a maximum time limit using a linear inequality?

Back

You can represent it as: time spent ≤ maximum time allowed.

Front

Write the inequality for spending $50 on rides and games at a fair, where rides cost $2.50 each and games cost $2 each.

Back