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 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Front

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

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

How do you solve the inequality 9x - 3 > 6?

Back

Add 3 to both sides: 9x > 9. Then divide by 9: x > 1.

Front

What is the solution to the inequality 3x + 2 > 14?

Back

Subtract 2 from both sides: 3x > 12. Then divide by 3: x > 4.

Front

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

Back

Subtract 7 from both sides: -2x < 12. Then divide by -2 (remember to flip the inequality): x > -6.

Front

What does it mean when an inequality has a 'greater than' symbol?

Back

It means that the value on the left side is larger than the value on the right side.

Front

What does it mean when an inequality has a 'less than or equal to' symbol?

Back

It means that the value on the left side is either smaller than or equal to the value on the right side.

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 adding or subtracting a constant.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.