Equations and Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Front

How do you represent a situation where one quantity is less than another using an inequality?

Back

You can represent it using the symbol '<'. For example, if quantity A is less than quantity B, it can be written as A < B.

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities help to express constraints and limits in real-life scenarios, such as budgeting, pricing, and resource allocation.

Front

How do you solve a simple inequality?

Back

To solve a simple inequality, isolate the variable on one side by performing the same operations on both sides, similar to solving an equation.

Front

What does the solution of an inequality represent?

Back

The solution of an inequality represents a range of values that satisfy the condition set by the inequality.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for '<' or '>' and a closed circle for '≤' or '≥'. Shade the region that represents the solution.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear expression. It can be written in the form ax + b < c, ax + b > c, etc.

Front

How do you interpret the solution of a linear inequality?

Back

The solution of a linear inequality indicates all the values of the variable that make the inequality true.

Front

What is the significance of the one-time fee in a cost comparison problem?

Back

The one-time fee affects the total cost and must be included when setting up the inequality to compare costs.