(B) The set difference $A - B$ is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,$A - B = \{x : x \in A \text{ and }

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(B) The set difference $A - B$ is defined as the set of all elements that are in $A$ but not in $B$.Mathematically,$A - B = \{x : x \in A \text{ and } x \notin B\}$.Since $x \notin B$ is equivalent to $x \in \bar B$ (where $\bar B$ is the complement of $B$),we can write:$A - B = A \cap \bar B$.Therefore,the correct option is $B$.

Competitive Quantitative Aptitude Algebra Set Theory

Medium

If $A = \{x : x \text{ is a multiple of } 3\}$ and $B = \{x : x \text{ is a multiple of } 5\}$,then $A - B$ is ($\bar A$ denotes the complement of $A$).

A
$\bar A \cap B$
B
$A \cap \bar B$
C
$\bar A \cap \bar B$
D
$\overline{A \cap B}$

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If $A = \{x : x \text{ is a multiple of } 3\}$ and $B = \{x : x \text{ is a multiple of } 5\}$,then $A - B$ is ($\bar A$ denotes the complement of $A$).

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Find the cardinal number of the following set ${x: x = 2n, n \in N, 4 \leq x \leq 11}$.

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In a class of $100$ students,$55$ students have passed in Mathematics and $67$ students have passed in Physics. Then the number of students who have passed in Physics only is

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