💣 Q :57 Prep 1 Question Bank T1

a) If \( A = \{2, 5, 8\} \), then which of the following is correct?

(a) \(\{2\} \subset A\)

(b) \(\{3\} \notin A\)

(c) \(\{5\} \subset A\)

(d) \(\{5, 8\} \notin A\)

Correct answers are (a) and (c).
- (a) is correct because {2} is a subset of A
- (c) is correct because {5} is a subset of A
- (b) is incorrect notation (should be 3 ∉ A, not {3} ∉ A)
- (d) is incorrect because {5,8} is a subset of A (though correct that it's not an element)

MR/Nasef.N

b) If \( A = \{4, 2, 7\} \), and \( B \subset A \), then which of the following can be the set \( B \)?

(a) \(\{4, 6\}\)

(b) \(\{1, 3, 5\}\)

(c) \(\{4, 3, 7\}\)

(d) \(\{7, 2\}\)

The correct answer is (d) \(\{7, 2\}\).
- (d) is correct because {7,2} contains only elements from A
- (a), (b), and (c) are incorrect because they contain elements not in A (6, 1, 3, 5)