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 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality 3x + 2 > 14.

Back

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

Front

What is the solution to the inequality 9x - 3 > 6?

Back

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

Front

When do you flip the sign in an inequality?

Back

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

Front

Solve the inequality -3x ≥ 12.

Back

Divide by -3 (flip the sign): x ≤ -4.

Front

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

Back

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

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 does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.