Module 5.1 One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality sign): m > -2.

Front

What is the solution to the inequality a ≥ -104?

Back

The solution indicates that a can be any number greater than or equal to -104.

Front

What is the solution to the inequality x ≤ 6?

Back

The solution indicates that x can be any number less than or equal to 6.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable on one side of the inequality.