Question

If A = {even natural numbers) and

B = {odd natural numbers}, which of
the following is true?
Enter a, b, c, d, or e.
a. 39 € A
c. 48 € B
b. An B=0
d. A UB=A

Answer 1

The correct answer is option b, which states that the intersection of sets A (even natural numbers) and B (odd natural numbers) is the empty set because these sets are mutually exclusive, containing no overlapping elements.

Step-by-step explanation:

The question concerns the sets of even and odd natural numbers. These two sets are mutually exclusive because a natural number cannot be both even and odd. The correct statement among the given options is b. An B=0, which means the intersection of set A (even natural numbers) and set B (odd natural numbers) is the empty set, as there are no elements that both sets share. Options a, c, and d are incorrect because 39 is an odd number and does not belong to A, which is the set of even numbers; 48 is an even number and does not belong to B, which is the set of odd numbers; and A union B does not equal A because the union would include both even and odd numbers, whereas A contains only even numbers.

Answer 2

a. False

b. True

c. False

d. False

Step-by-step explanation:

(a) is False, the reason is: 39 is odd number and Set A contains only even numbers.

(b) is true Set A contains even natural numbers and set B contains odd natural numbers. There is nothing common between the two set. This implies that intersection of the two set is empty.

(c) is False, the reason is: 48 is even natural number and Set B contains only odd natural numbers.

(b) is False Set A contains even natural numbers and set B contains odd natural numbers. The union of two sets is set of natural numbers not the set A.