Two-Step Inequality

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

Solve for y: 2y - 4 ≤ 10

Back

y ≤ 7

Front

Solve for u: u/7 – 1 ≤ 1

Back

u ≤ 14

Front

Do I need to flip my sign when solving -3x ≥ 12?

Back

Yes, you need to flip the sign when multiplying or dividing by a negative number.

Front

Solve the inequality: 5x - 3 < 12

Back

x < 3

Front

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

Back

The inequality sign flips.

Front

What is the first step to solve the inequality: 3x + 5 > 11?

Back

Subtract 5 from both sides to isolate the term with x.

Front

Solve for x: -2x + 4 < 10

Back

x > -3

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality.

Front

Solve for x: 4x - 8 ≥ 0

Back

x ≥ 2