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 2 + 3x ≤ 20?

Back

Subtract 2 from both sides: 3x ≤ 18. Then divide by 3: x ≤ 6.

Front

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

Back

The inequality sign flips (changes direction).

Front

Solve the inequality -3x - 4 < 5.

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (flip the sign): x > -3.

Front

What is the solution to the inequality -n + 8 < 26?

Back

Subtract 8 from both sides: -n < 18. Then multiply by -1 (flip the sign): n > -18.

Front

How do you solve the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (flip the sign): a < 2.

Front

What is the first step in solving the inequality 5x + 3 < 18?

Back

Subtract 3 from both sides: 5x < 15.

Front

What does it mean if x < 4 in an inequality?

Back

It means that x can be any number less than 4.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the solution set for the inequality x + 5 > 10?

Back

x > 5.