Question 1: Write the following sets in set builder notation:
\((iv)\) \(\quad\) \(\{6,12,18,\ldots,120\} \)
Solution:
We observe in the set \(\{6,12,18,\ldots,120\} \)
\(6 \times 1=6,\)\(\ 6 \times 2 =12,\)\(\ 6 \times 3 =18,\)\(\ …\ ,\)\(\ 6 \times 20 =120\)
Set Builder Notation:
\(\{ x \mid x=6n, n \in N \land 6 \leq x \leq 120 \}\)