Sets

The set-builder form of $\{5, 10, 15, 20, 25\}$ is:

Which of the following collections is well-defined?

The roster form of the set $J = \{x : x = 2n-1, n \in \mathbb{N} \text{ and } n \leq 3\}$ is:

If $A = \{x : x^2 = 25\}$ and $B = \{5\}$, which of the following is correct?

The set of vowels in the English alphabet is:

Let $A = \{x : x \in \mathbb{N}, x+5 = 5\}$. This set is known as a/an:

If a set has 0 elements, the total number of proper subsets is:

The set of natural numbers $\mathbb{N}$ is a subset of which of the following?

If $S = \{a, b, c\}$, which of the following is an element of the power set $P(S)$?

Which of the following best describes the shaded region $A - B$ in a Venn diagram involving two overlapping sets $A$ and $B$?

Given $n(A) = 25$, $n(B) = 35$, and $n(A \cap B) = 15$, find the value of $n(A \cup B)$ using the principle of inclusion-exclusion.

In a Venn diagram, the region representing the complement of the union of two sets $A$ and $B$, denoted as $(A \cup B)'$, is located:

Let $A = \{1, 2\}$ and $B = \{3, 4\}$. Then $A \cup B$ is:

If $A = \{x : x \in \mathbb{N}, x \text{ is a multiple of 5}\}$ and $B = \{5, 10, 15\}$, find $B - A$.

Which of the following describes $A \cap A$?

If two sets $A$ and $B$ are such that $A \cap B = \emptyset$ and $A \cup B = U$, then $B$ must be the:

In a Venn diagram, the region representing $A'$ is:

If $A = \{x : x \text{ is a factor of } 6\}$ and $U = \{1, 2, 3, 4, 5, 6\}$, then $A'$ is:

In a group of $130$ people, $80$ play football and $70$ play cricket. If every person plays at least one game, how many play both?

If $n(X) = 14$, $n(X \cup Y) = 25$, and $n(X \cap Y) = 6$, find $n(Y)$.

If $n(A) = 55$ and $n(B) = 35$, and the sets are disjoint, what is $n(A \cup B)$?