Solving Two Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

When do you flip the inequality sign?

Back

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

Front

What does the inequality symbol '>' mean?

Back

It means 'greater than'.

Front

What does the inequality symbol '<' mean?

Back

It means 'less than'.

Front

How do you solve the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides: 3x < 15, then divide by 3: x < 5.

Front

What is the solution to the inequality -2x > 8?

Back

Divide by -2 (flip the sign): x < -4.

Front

How do you graph the inequality x > 3?

Back

Draw a number line, put an open circle on 3, and shade to the right.

Front

What does the solution x ≤ 4 represent on a number line?

Back

It includes all numbers less than or equal to 4, with a closed circle on 4.

Front

What is the first step in solving the inequality 5n - 3 < 12?

Back

Add 3 to both sides: 5n < 15.

Front

What is the solution to the inequality 7 - 2x ≤ 1?

Back

Subtract 7 from both sides: -2x ≤ -6, then divide by -2 (flip the sign): x ≥ 3.