Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality: 2 - 3x ≤ 20?

Back

Subtract 2 from both sides: -3x ≤ 18. Then divide by -3 (remember to flip the inequality sign): x ≥ -6.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality: 16 - 4a > 8.

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (flip the sign): a < 2.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality: 6 > x?

Back

The solution is x < 6.

Tags

CCSS.6.EE.B.8

Front

When do you flip the inequality sign?

Back

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

Tags

CCSS.6.EE.B.8

Front

Solve the inequality: -3x ≥ 12.

Back

Divide by -3 (flip the sign): x ≤ -4.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality: 3x ≥ 12.

Back

Divide by 3: x ≥ 4.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality: x + 5 < 10?

Back

Subtract 5 from both sides: x < 5.

Tags

CCSS.7.EE.B.4B

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Tags

CCSS.6.EE.B.8