Writing Linear Inequalities from 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

How do you represent a situation where a quantity cannot exceed a certain limit?

Back

Use the inequality symbol ≤ to indicate that the quantity is less than or equal to the limit.

Front

What does the inequality 1.50x + 10 ≤ 40 represent in a word problem?

Back

It represents the total cost of admission ($10) plus the cost of rides ($1.50 per ride) being less than or equal to $40.

Front

How do you write an inequality for a situation where a quantity must be at least a certain value?

Back

Use the inequality symbol ≥ to indicate that the quantity is greater than or equal to the value.

Front

What does the inequality s ≤ 18 mean in a word problem?

Back

It means that the number of students (s) in the hall cannot exceed 18.

Front

How do you express a situation where a total cost must not exceed a budget?

Back

Write an inequality where the total cost expression is less than or equal to the budget.

Front

What is the significance of the inequality symbol < in a word problem?

Back

It indicates that the quantity must be strictly less than the specified value.

Front

How do you represent a situation where a quantity must be more than a certain number?

Back

Use the inequality symbol > to indicate that the quantity is greater than the specified number.

Front

What does the inequality 2d + 3t ≤ 12 represent in a word problem?

Back

It represents the total cost of buying daisies ($2 per stem) and tulips ($3 per stem) being less than or equal to $12.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the value in the solution set, while < does not include the value.