Determine whether the following set is finite or infinite:
The set of positive integers greater than $100$.

In this question,all integers are represented in base $10$. Consider the set $E$ of positive integers $n$ having the property that when any nonzero digit $d \in \{1, 2, \dots, 9\}$ is written to the right of $n$,the resulting number is divisible by $d$. Let $N$ be the smallest element of $E$. The product of the digits of $N$ is:

Write the following as intervals: $\{ x:x \in R, 3 \le x \le 4 \}$

If $A = \{2, 3, 4, 5, 6\}$,then which of the following statements has a truth value of 'false'?

Which of the following is an empty set?

Two dice are thrown. The events $A$,$B$,and $C$ are as follows:
$A$: getting an even number on the first die.
$B$: getting an odd number on the first die.
$C$: getting the sum of the numbers on the dice $\leq 5$.
State true or false: (give reason for your answer)
Statement: $A$ and $B^{\prime}$ are mutually exclusive.