One-step Inequalities

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality: 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality: 24 ≤ h + 15?

Back

Subtract 15 from both sides: 24 - 15 ≤ h, which simplifies to 9 ≤ h or h ≥ 9.

Front

Do you need to flip the inequality sign when multiplying or dividing by a positive number?

Back

No, you do not need to flip the sign.

Front

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

Back

You must flip the inequality sign.

Front

Solve the inequality: 3x ≥ 12.

Back

Divide both sides by 3: x ≥ 4.

Front

What is the solution to the inequality: -8x < 48?

Back

Divide both sides by -8 and flip the sign: x > -6.

Front

How do you solve the inequality: x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.