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1.Set Theory
easy
$V =\{a, e, i, o, u\}$ અને $B =\{a, i, k, u\}$ છે. $V -B$ અને $B -V$ શોધો.
Option A
Option B
Option C
Option D
Solution
We have, $V – B =\{e, o\},$ since the elements $e, o$ belong to $V$ but not to $B$ and $B – V =\{k\},$ since the element $k$ belongs to $B$ but not to $V$
We note that $V – B \neq B$ – $V$. Using the setbuilder notation, we can rewrite the definition of difference as
$A – B = \{ x:x \in A$ and $x \notin B\} $
The difference of two sets $A$ and $B$ can be represented by Venn diagram as shown in (Fig)
The shaded portion represents the difference of the two sets $A$ and $B$
Standard 11
Mathematics
