Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to solve, typically involving addition or subtraction followed by multiplication or division.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -3x ≥ 12. What is x?

Back

x ≤ -4.

Front

Solve the inequality: -3x - 4 < 5. What is x?

Back

x > -3.

Front

What is the first step in solving the inequality 5b - 6 = 24?

Back

Add 6 to both sides.

Front

What is the solution to the inequality 2x + 6 ≥ -8?

Back

x ≥ -7.

Front

How do you isolate the variable in the inequality 3x + 9 < 18?

Back

Subtract 9 from both sides and then divide by 3.

Front

What does the solution x < 3 represent on a number line?

Back

All numbers to the left of 3, not including 3.

Front

If you have the inequality x + 5 > 10, what is the first step to solve it?

Back

Subtract 5 from both sides.

Front

What does the inequality x ≥ -10 mean?

Back

x can be any number greater than or equal to -10.