Question 1: Write the following sets in set builder notation:
\((v)\) \(\quad\) \( \{100,102,104,\ldots,400\}\)
Solution:
We observe the patteren in the set \( \{100,102,104,\ldots,400\}\); the set start form \(100\) and increases by ta step size of \(2\).
\(100 +2\times 0 =100,\)\(\ 100 + 2\times 1 =102,\)\( 100 +2 \times 2 =104,\)\(\ …\ ,\)\(\ 100 +2\times 150 =400\)
Set Builder Notation:
\(\{ x \mid x=100+2n, n \in W \land 100 \leq x \leq 400 \}\)