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Q.
If $A =\{ x \in R : 0< x <3\}$ and $B =\{ x \in R : 1 \leq x \leq 5\}$ then
$A \Delta B$ is
Sets
Solution:
From the given we have in interval notation $A =(0,3)$ and $B =[1,5]$
Clearly $A - B =(0,1)=\{ x \in R : 0<\, x <\,1\}$
and $B - A =[3,5]=\{ x \in R : 3 \leq x \leq 5\}$
$ \therefore A \Delta B =( A - B ) \cup( B - A )=(0,1) \cup[3,5] $
$=\{ x \in R : 0<\, x <\,1 $ or $3 \leq x \leq 5\} $