Let A and B be subsets of a set X. Then - Vidyadip

MCQ

Let $A$ and $B$ be subsets of a set $X$. Then

A
$A - B = A \cup B$
B
$A - B = A \cap B$
C
$A - B = {A^c} \cap B$
✓
$A - B = A \cap {B^c}$

✓

Answer

Correct option: D.

$A - B = A \cap {B^c}$

d
(d) $A - B = \{ x:x \in A$ and $x\not \in B\} $

$ = \{ x:x \in A $ and $x \in {B^c}\} = A \cap {B^c}$.

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