First slide

Operations on Sets

Question

$If A = [- 3, 7] and B = [2, 9] then which of the following is not true$

Very Easy

A

$A \cap B = [2, 7]$
B

$(A \cup B)^{'} = (- \infty, - 3) \cup (9, \infty)$
C

$A - B = [- 3, 2]$
D

$A - B^{'} = [2, 7]$

Solution

$\begin{array}{l} From diagram A \cap B = [2, 7] \\ \begin{array}{l} (A \cup B)^{'} = (- \infty, - 3) \cup (9, \infty) \\ A - B = [- 3, 2) \\ A - B^{'} = [2, 7] where B^{'} = (- \infty, 2) \cup (9, \infty) \end{array} \end{array}$

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