Paper 22 Q8(b)IGCSE 0580 May/June 2023

Question

Solve. 30 11x-3⩾2(2x+9)

This question tests your ability to solve linear inequalities by expanding brackets, collecting like terms, and applying the correct inequality rules. It's essential for understanding how to handle inequalities systematically.

Step-by-Step Solution

Key Takeaway

When solving linear inequalities, follow the same steps as solving equations, but remember the inequality sign only changes direction when multiplying or dividing by a negative number.

Common Mistakes

Incorrectly expanding 2(2x + 9) as 4x + 9 instead of 4x + 18, forgetting to multiply both terms by 2
Flipping the inequality sign when dividing by 7, even though 7 is positive and the sign should remain unchanged

Exam Tip

Always double-check your expansion of brackets and remember that inequality signs only flip when multiplying or dividing by negative numbers.

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