Paper 22 Q6(b)IGCSE 0580 May/June 2023

Question

ξ ={x|1⩽x⩽20} E= {even numbers} M= {multiples of 5} Find the elements in the set E+M.

This question tests understanding of set notation and finding the intersection of two sets. We need to identify which numbers belong to both set E (even numbers) and set M (multiples of 5) within the universal set.

Step-by-Step Solution

Key Takeaway

The intersection of two sets contains only the elements that appear in both sets.

Common Mistakes

Writing E ∪ M (union) instead of E ∩ M (intersection), which would give all numbers from both sets rather than just the common ones
Including numbers like 5 or 15 which are multiples of 5 but not even numbers

Exam Tip

Always check that each element in your final answer satisfies all the conditions for both sets.

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