2 - Step Inequalities Practice

Front

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

Back

Yes, you need to flip the inequality sign when you multiply or divide by a negative number.

Front

When graphing the inequality b < 6, would you use an open or closed circle?

Back

Open circle, because the value 6 is not included in the solution.

Front

Solve for k: 7k – 2 ≥ -9

Back

k ≥ -1.

Front

Solve the inequality: -3y + 2 > 11

Back

y < -3.

Front

Solve the inequality: 16 - 4a > 8

Back

a < 2.

Front

What does it mean to solve a two-step inequality?

Back

It means to isolate the variable by performing two operations, typically addition/subtraction followed by multiplication/division.

Front

What is the first step to solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the solution set for the inequality x - 5 > 0?

Back

x > 5.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, and shade the appropriate direction.

Front

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

Back

The inequality sign flips.