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 (>, <, ≥, ≤).

Front

How do you write a linear inequality from a word problem?

Back

Identify the variables, determine the relationship between them, and express the constraints using inequality symbols.

Front

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

Back

It means 'less than or equal to', indicating that the value can be either less than or exactly equal to the specified number.

Front

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

Back

It means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the specified number.

Front

Write the linear inequality for: The cost of 57 Biology textbooks and 72 Chemistry textbooks must be no more than $2700.

Back

57x + 72y ≤ 2700

Front

Write the linear inequality for: A landscaping business can spend less than $1000 on trees and bushes, costing $14 and $5 respectively.

Back

14x + 5y < 1000

Front

Write the linear inequality for: The Math Pentathalon team wants to make at least $240 from selling hot chocolate and apple cider.

Back

x + 2y ≥ 240

Front

Write the linear inequality for: Ms. Savva has a budget of no more than $81 for pizzas and breadsticks costing $13 and $7 respectively.

Back

7x + 13y ≤ 81

Front

What is the graphical representation of a linear inequality?

Back

It is a shaded region on a graph that shows all the possible solutions to the inequality.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.