Which of the following statements is false: - Vidyadip

MCQ

Which of the following statements is false:

A
$\text{A} - \text{B = A}\cap\text{B}'$
B
$\text{A} - \text{B = A} - \text{(A}\cap\text{B)}$
C
$\text{A} - \text{B = A}-\text{B}'$
D
$\text{A} - \text{B = (A}\cup\text{B)}-\text{B.}$

✓

Answer

$\text{A}- \text{B = A} - \text{B}'.$

Solution:

It includes all those elements of A which do not belongs to complement of B which is equal to $\text{A}\cap\text{B}$ but not equal to A - B.

$\therefore$ (c) ic false.

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