COMEDK · Maths · 20. Sets and Relations
\(\text { Let } \mathrm{A} \text { and } \mathrm{B} \text { be two sets then } A-(A \cap B) \text { is equal to }\)
- A \((A \cap B)^{\prime}\)
- B \(\emptyset\)
- C \(B-A\)
- D \(A-B\)
Answer & Solution
Correct Answer
(D) \(A-B\)
Step-by-step Solution
Detailed explanation
By the definition of set difference, the set \(A - (A \cap B)\) consists of all elements that are in \(A\) but not in \(A \cap B\). Using the distributive law or the property of set difference, \(A - (A \cap B) = A \cap (A \cap B)'\). Applying De Morgan's Law,…
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