Solve 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 -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 symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

How do you solve the inequality 2x + 6 ≥ -8?

Back

Subtract 6 from both sides: 2x ≥ -14. Then divide by 2: x ≥ -7.

Front

What is the solution to the inequality -4x + 1 > 21?

Back

Subtract 1 from both sides: -4x > 20. Then divide by -4 (flip the inequality): x < -5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than', indicating that the value is smaller than the number.

Front

How do you solve the inequality u/7 - 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2. Then multiply by 7: u ≤ 14.

Front

What is the solution to the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides: 9 > -3y. Then divide by -3 (flip the inequality): -3 < y.

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 performing addition or subtraction.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.