Question

Given Set O = { b, e, d } P = { b, i, d } Q = { b, u, d }Find the intersections of O, P, and Q

Answer 1

Given:

`\begin{gathered} O=\lbrace b,e,d\rbrace \\ P=\lbrace b,i,d\rbrace \\ Q=\lbrace b,u,d\rbrace \end{gathered}`

Required:

To find the intersections of O, P, and Q​.

Step-by-step explanation:

The intersection of two sets O,P and Q is the set of all elements which are common.

Here the common elements are b and d.

`\begin{gathered} O\cap P\cap Q=\lbrace b,e,d\rbrace\cap\lbrace b,i,d\rbrace\cap\lbrace b,u,d\rbrace \\ \\ =\lbrace b,d\rbrace \end{gathered}`

Final Answer:

`O\cap P\cap Q=\lbrace b,d\rbrace`