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.

Front

How do you solve the inequality 5x < 5?

Back

Divide both sides by 5: x < 1.

Front

What does the inequality 25 < X - 10 mean?

Back

It means that X must be greater than 35.

Front

What is the first step to solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77.

Front

What do you do next after 7n > 77?

Back

Divide both sides by 7: n > 11.

Front

When solving the inequality 3x ≥ 12, do you need to flip the inequality sign?

Back

No, you do not need to flip the sign.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used to indicate that 6 is not included.

Front

What is the solution to the inequality -4x > 12?

Back

Divide by -4 and flip the sign: x < -3.

Front

How do you represent the solution of x + 5 ≤ 10 on a number line?

Back

Draw a closed circle at 5 and shade to the left.