Linear Inequalities Test Part 2

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', indicating 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', indicating that the value on the left can be greater than or equal to the value on the right.

Front

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

Back

A budget constraint can be represented by an inequality where the total cost of items is less than or equal to the budget amount.

Front

Write the linear inequality for a budget of $81 with pizzas costing $13 and breadsticks costing $7.

Back

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

Front

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

Back

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

Front

Write the linear inequality for spending under $1000 on trees costing $14 and bushes costing $5.

Back

14x + 5y < 1000, where x is the number of trees and y is the number of bushes.

Front

What does it mean if a system of linear inequalities has no solution?

Back

It means that there is no set of values that satisfies all inequalities simultaneously.

Front

Write the linear inequality for making at least $240 from selling hot chocolate at $1 and hot apple cider at $2.

Back

x + 2y ≥ 240, where x is the number of hot chocolate glasses and y is the number of hot apple cider glasses.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on a coordinate plane, indicating all possible solutions.