2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (remember to flip the inequality): a > -3.

Front

What does the solution x ≥ -6 represent in a number line?

Back

It represents all numbers greater than or equal to -6, including -6 itself.

Front

How do you solve the inequality -4x + 5 ≤ 29?

Back

Subtract 5 from both sides: -4x ≤ 24. Then divide by -4 (flip the inequality): x ≥ -6.

Front

What is the solution to the inequality 3x + 4 > 13?

Back

Subtract 4 from both sides: 3x > 9. Then divide by 3: x > 3.

Front

How do you interpret the inequality 16 - 4a > 8?

Back

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

Front

What does the solution b < 2 indicate?

Back

It indicates that b can be any number less than 2.

Front

What is the first step in solving a 2-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.

Front

What is the solution to the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14. Then divide by 7: b < 2.