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Maths-

General

Easy

Question

For any two sets $A$ and $B$ , if $A intersection X equals B intersection X equals ϕ$ and $A union X equals B union X$ for some set $X$ , then

$A - B = A \cap B$
$A = B$
$B - A = A \cap B$
None of these

The correct answer is: $A equals B$

Given, $A intersection X equals B intersection X equals ϕ$
$rightwards double arrow A$ and $X comma blank B$ and $X$ are disjoint sets.
Also, $A union X equals B union X rightwards double arrow A equals B$

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The shaded region in the figure represents

The shaded region in the figure represents
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