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 (remember to flip the inequality sign): x ≥ -6.

Front

What does the inequality symbol '>' mean?

Back

'>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the inequality symbol '<' mean?

Back

'<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

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

Back

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

Front

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 solution to the inequality: 6 > x?

Back

The solution is x < 6.

Front

Do you need to flip the sign in the inequality -3x ≥ 12?

Back

Yes, you need to flip the sign when dividing by -3.

Front

Solve the inequality: -7x + 1 ≤ 22.

Back

Subtract 1 from both sides: -7x ≤ 21. Then divide by -7 (flip the sign): x ≥ -3.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.