Writing One-Step Inequalities

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 equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the symbol for 'less than'?

Back

The symbol for 'less than' is <.

Front

What is the symbol for 'greater than or equal to'?

Back

The symbol for 'greater than or equal to' is ≥.

Front

How do you represent a situation where a total must be less than a certain amount?

Back

You can represent it with an inequality, such as x + 175 < 1000.

Front

What does 'at least' mean in terms of inequalities?

Back

'At least' means the value must be greater than or equal to a certain number, represented as x ≥ number.

Front

How do you write an inequality for a maximum spending limit?

Back

You write it as 3x ≤ total amount, where x is the amount spent on each item.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

How can you check if your solution to an inequality is correct?

Back

You can check by substituting the solution back into the original inequality to see if it holds true.