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 on one side of the inequality sign.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 3x + 2 > 14?

Back

Subtract 2 from both sides to get 3x > 12, then divide by 3 to find x > 4.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 4x - 4 > 8?

Back

Add 4 to both sides to get 4x > 12, then divide by 4 to find x > 3.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -2x + 7 < 19?

Back

Subtract 7 from both sides to get -2x < 12, then divide by -2 (remember to flip the inequality) to find x > -6.

Tags

CCSS.7.EE.B.4B

Front

What does it mean to flip the inequality sign when dividing by a negative number?

Back

When you divide or multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving a two-step inequality?

Back

The first step is usually to isolate the term with the variable by performing the inverse operation (addition or subtraction) on both sides.

Tags

CCSS.7.EE.B.4B

Front

Can two-step inequalities have no solution?

Back

Yes, some two-step inequalities can have no solution, such as when the variable cancels out and results in a false statement.

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality shows a number line with an open or closed circle at the boundary point and shading to indicate the solution set.

Tags

CCSS.6.EE.B.8