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?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

Subtract 5 from both sides: x > 2.

Front

What is the solution set for the inequality x - 3 > -3?

Back

Add 3 to both sides: x > 0. The solution set is all numbers greater than 0.

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

What is the solution to the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does it mean to 'flip' the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically by adding, subtracting, multiplying, or dividing.

Front

How do you solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n, then divide by 8: 9 ≤ n or n ≥ 9.