Module 6 Review - 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 represent a situation with a linear inequality?

Back

Identify the variables, constants, and relationships in the situation, then express it using an inequality.

Front

What does the symbol '≤' mean in an inequality?

Back

It 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 an inequality?

Back

It 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

Back

Front

Back

The solution set includes all real numbers less than 3.

Front

Back

Draw an open circle at 3 and shade to the left to indicate all numbers less than 3.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or', to describe a range of values.

Front

Back

The solution is the set of all x such that x is greater than 4 and less than or equal to 16.

Front

What does it mean for a point to be a solution to an inequality?

Back

A point is a solution if it satisfies the inequality when substituted into the expression.