Question 29 of 47beginner🔧 ApplyShort Answer2 marks

If X = {a, b, c, d} and Y = {f, b, d, g}, find

(i)

X – Y

Answer

X – Y = {a, c}

(ii)

Y – X

Answer

Y – X = {f, g}

(iii)

X ∩ Y

Answer

X ∩ Y = {b, d}

Explanation

This question tests understanding of set difference and intersection operations. The difference A – B contains elements present in A but NOT in B. The intersection A ∩ B contains elements common to both sets. From the given sets X = {a, b, c, d} and Y = {f, b, d, g}, the common elements are b and d. For X – Y, we remove these common elements from X, leaving {a, c}. For Y – X, we remove common elements from Y, leaving {f, g}.

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