# U= the set of natural numbers between 10 and 20 A= Even numbers B= Multiples of 3 where the number is less than 18. Find (A'UC) - B

$U=$ the set of natural numbers between 10 and 20
$A=$ Even numbers
$B=$ Multiples of 3 where the number is less than 18.
$C=$ composite numbers
Find $\left({A}^{\prime }UC\right)-B$
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Step 1
$U=$ the set of natural numbers between 10 and 20.
$U=\left\{11,12,13,14,15,16,17,18,19\right\}$
$A=$ even numbers $⇒\left\{2,4,6,...18\right\}$
$B=$ multiples of three where the number 15 less than 18.
$B=\left\{3,6,9,12,15\right\}$
$C=$ composite numbers
$=\left\{4,6,8,9,10,12,14,15,16,18,...\right\}$
Step 2
Find $\left({A}^{\prime }UC\right)-B$
Hence, ${A}^{\prime }=\left\{1,3,5,7,9,11,13,...\right\}$
Now, $\left({A}^{\prime }UC\right)=\left\{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...\right\}$
and $\left({A}^{\prime }UC\right)-B=\left\{1,4,5,7,8,10,11,13,14,16,17,19\right\}$