Flashcard 2: Solving One-Step Inequalities

Front

What does the inequality x > -8 represent on a number line?

Back

It represents all numbers greater than -8, with an open circle at -8 and shading to the right.

Front

How do you solve the inequality x - 2 < 5?

Back

Add 2 to both sides: x < 7.

Front

What is the solution to the inequality y - 12 ≤ 2?

Back

Add 12 to both sides: y ≤ 14.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 and flip the inequality: x > -6.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides by a negative number.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

It means 'less than or equal to'.

Front

What does the symbol ≥ mean?

Back

It means 'greater than or equal to'.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

What is the solution set for the inequality x ≥ -2?

Back

All numbers greater than or equal to -2.