Mastering One and Two Step Inequalities

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• Maths
• Upper Secondary (Key Stage 4)
• BTEC

Mastering One and Two Step Inequalities

Learning objective

Learning Objective

At the end of the lesson, you will be able to solve one and two step inequalities confidently.

Key Words: Inequality

Inequality: A mathematical statement that uses symbols like >, <, ≥, or ≤ to compare two values.

Key Words: One Step Inequality

One Step Inequality: Solved by performing one operation to find the solution.

Key Words: Two Step Inequality

Two Step Inequality: Solved by performing two operations to find the solution.

One Step Inequality Example

Solve x + 5 > 8 by subtracting 5 from both sides: x > 3.

Practice: One Step Inequalities

Solve: a - 3 < 7. What is 'a'? (Answer: a < 10)

Two Step Inequality Example

Solve 2x + 3 ≤ 11 by subtracting 3 and dividing by 2: x ≤ 4.

Practice: Two Step Inequalities

Solve: 3y - 4 > 5. What is 'y'? (Answer: y > 3)

Checking Solutions

Verify: Substitute the variable back into the inequality to check correctness.

Interactive Activity

Use online tools to practice solving inequalities and verify solutions.

What is the solution to x + 5 < 12?

A

x < 7

B

x = 7

C

x < 5

D

x > 7

Solve: 3x - 4 > 5

A

x = 3

B

x < 3

C

x > 3

D

x > 4

What does x/2 ≤ 6 mean?

A

x = 12

B

x ≥ 12

C

x ≤ 12

D

x < 12

Solve: 7 - x ≥ 2

A

x = 5

B

x > 5

C

x ≤ 5

D

x < 5

Summary and Review

Recap: Solving inequalities involves careful operations and verifying results.