Write the following interval in set-builder form: $\left[ -23, 5 \right)$

Which of the following sets is finite or infinite?
The set of prime numbers less than $99$.

Let $A, B, C$ be subsets of a set $X$. Which of the following set-theoretic statements is valid?

If $A = \{ 1, 2, 3, 4, 5 \}$,then what is the number of proper subsets of $A$?

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 $\leq 5$.
Describe the event $B$ or $C$.

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