Write the following as intervals: $\{x : x \in \mathbb{R}, 0 \le x < 7\}$

Which of the following pairs of sets are equal? Justify your answer.
$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.

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

Which of the following is a set? Justify your answer.
The collection of ten most talented writers of India.

If a set $A$ has $n$ elements,then the total number of subsets of $A$ is

Consider the sets $\phi, A = \{1, 3\}, B = \{1, 5, 9\}, C = \{1, 3, 5, 7, 9\}$. Insert the symbol $\subset$ or $\not\subset$ between the following pair of sets: $\phi \dots B$.