Question 1: Write the following sets in set builder notation:
\((vi)\) \(\quad\) \(\{5,10,15,\ldots,100\} \)
Solution:
The set \(\{5,10,15,\ldots,100\} \) has given below patteren.
\(5 \times 1=5,\)\(\ 5 \times 2 =10,\)\(\ 5 \times 3 =15,\)\(\ …\ ,\)\(\ 5 \times 20 =100\)
Set Builder Notation:
\(\{ x \mid x=5n, n \in N \land 5 \leq x \leq 100 \}\)