If $A = \{a, b, c, d\}$, $B = \{b, c, d, e\}$, prove that : $A - B = (A \cup B) - B$

If A = \a, b, c, d\, B = \b, c, d, e\, prove that – Class 12 Business Mathematics And Statistics

Question 28 of 32

A = \{a, b, c, d\}

ChseodishaCHSE Odisha Plus Two (Class 12) Commerce Board 2023Subjective· 3mImportance★★★★★est

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$A-B=\{a\}=(A\cup B)-B$ , so the identity holds.

Given $A=\{a,b,c,d\}$ and $B=\{b,c,d,e\}$ .

Left-hand side — $A-B$ is the set of elements in $A$ but not in $B$ :

$A-B=\{a\}$

Right-hand side — first form the union:

$A\cup B=\{a,b,c,d,e\}$

Then remove the elements of $B$ :

$(A\cup B)-B=\{a,b,c,d,e\}-\{b,c,d,e\}=\{a\}$

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