First slide

Operations on Sets

Question

If $A$ is the set of letters needed to spell “ MATH-EMATICS” and $B$ is the set of letters needed to spell STATISTICS, then

Moderate

A

$A \subset B$
B

$A ~ B = ϕ$
C

$A Δ B = A ~ B$
D

none of these

Solution

$\begin{array}{l} A = {M, A, T, H, E, I, C, S} \\ B = {S, T, A, I, C} \\ B ~ A = ϕ, So A Δ B = (A ~ B) \cup (B ~ A) \\ = A ~ B . \end{array}$
Verify (a) and (b) are not correct.

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