Question 467 of 480
If S ⊂ T ⊂ W, which of the following statements is/are true? I. S ∩ T ∩ W = S. II. S ∪ T ∪ W = W. III. T ∩ W = S.
- I and II
- I and III
- II and III
- I, II, and III
Correct Answer:
A
Explanation
Given S ⊂ T ⊂ W: Every element of S is in T, and every element of T is in W. I: The intersection of all three is the smallest set, S. True. II: The union of all three is the largest set, W. True. III: T ∩ W = T (since T is a subset of W), not necessarily S. False.