Review #3: 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 with a linear inequality?

Back

Identify the variables, determine the coefficients based on the context, and set up the inequality using the appropriate inequality symbol.

Front

What does the inequality 2d + 1p ≤ 14 represent?

Back

It represents a situation where the total cost of drinks (d) at $2 each and popcorn (p) at $1 each must not exceed $14.

Front

In the context of seating, what does the inequality 4s + 6l ≥ 100 mean?

Back

It means that the total seating capacity from small tables (s) seating 4 people each and large tables (l) seating 6 people each must be at least 100.

Front

What is the significance of the inequality symbol '≤'?

Back

The symbol '≤' indicates that the left side can be less than or equal to the right side, meaning the total can reach but not exceed a certain limit.

Front

How do you write an inequality for a budget constraint?

Back

Identify the costs of items, assign variables, and express the total cost as less than or equal to the budget.

Front

What does the inequality 8h + 4p ≤ 80 represent in a bookstore context?

Back

It represents the total cost of hardback books (h) at $8 each and paperback books (p) at $4 each, which must not exceed $80.

Front

What is the meaning of the inequality 3s + 2c ≥ 42 in ticket sales?

Back

It indicates that the total revenue from selling senior citizen tickets (s) and child tickets (c) must be at least $42.

Front

How do you interpret the inequality 2s + 6b ≤ 120 in a cooking context?

Back

It means that the total weight of sausage links (s) at 2 lb each and briskets (b) at 6 lb each must not exceed 120 lb.

Front

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

Back

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