Linear Inequality Word Problems

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

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you write a linear inequality for a budget constraint?

Back

You express the total cost of items as a linear expression and set it less than or equal to the budget amount.

Front

If a pizza costs $13 and breadsticks cost $7, how would you represent a budget of $81?

Back

7x + 13y ≤ 81, where x is the number of breadsticks and y is the number of pizzas.

Front

What is the first step in solving a linear inequality?

Back

Identify the inequality symbol and the expression that represents the situation.

Front

How do you interpret the inequality 's > 36'?

Back

This means that the amount saved, s, is greater than $36.

Front

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

Back

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

Front

How do you graph a linear inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate side of the circle.

Front

What does it mean if a linear inequality has no solution?

Back

It means that there are no values that satisfy the inequality, often due to contradictory conditions.