Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If \( x(A) = 20 \), \( x(B) = 15 \), \( x(A \cup B) = 5 \), find \( x(A \cap B) \)?
Options
A 30
Correct Answer
B 35
C 25
D 20
Correct Answer

Option A is the correct answer.

Detailed Explanation

The formula for the union of two sets is n(A ∪ B) = n(A) + n(B) - n(A ∩ B). Substituting the given values: 5 = 20 + 15 - n(A ∩ B) => 5 = 35 - n(A ∩ B) => n(A ∩ B) = 30.

Hint

Use the principle of inclusion-exclusion: n(A ∪ B) = n(A) + n(B) - n(A ∩ B).

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 531 of 696
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