Question

If P= (1, 3, 6, 7, 9) and Q = (1, 2, 4, 5, 6, 7, 8}, find P n Q.O (1,2, 3, 4, 5, 6, 7, 8, 9}O 12, 3, 4, 5, 8, 9}O DO {1, 6, 7)

Answer 1

So we have the following pair of sets:

$\begin{gathered} P=\mleft\lbrace1,3,6,7,9\mright\rbrace \\ Q=\mleft\lbrace1,2,4,5,6,7,8\mright\rbrace \end{gathered}$

And we have to find their intersection. This is a set composed of all the elements that are part of P and Q at the same time i.e. the numbers that appear in both. If you analyze both set's you'll notice that the numbers 1, 6 and 7 appear in both. This means that the intersection between P and Q is given by:

$P\cap Q=\mleft\lbrace1,6,7\rbrace\mright?$

Then the answer is the fourth option.