If $X = \{a, b, c, d\}$ and $Y = \{f, b, d, g\},$ find $X - Y$.

State whether the following set is finite or infinite:
The set of numbers which are multiples of $5$.

If $A \subseteq B$,then $A \cap B$ is equal to

$A$ graph $G$ has $m$ vertices of odd degree and $n$ vertices of even degree. Then which of the following statements is necessarily true?

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

Let $A$ and $B$ be sets. If $A \cap X = B \cap X = \phi$ and $A \cup X = B \cup X$ for some set $X$,show that $A = B$. (Hint: Use $A = A \cap (A \cup X)$,$B = B \cap (B \cup X)$ and the Distributive law.)