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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
Which of the following statements is false:
  • A
    $\text{A} - \text{B = A}\cap\text{B}'$
  • B
    $\text{A} - \text{B = A} - \text{(A}\cap\text{B)}$
  • ✓
    $\text{A} - \text{B = A}-\text{B}'$
  • D
    $\text{A} - \text{B = (A}\cup\text{B)}-\text{B.}$
✓

Answer

Correct option: C.
$\text{A} - \text{B = A}-\text{B}'$
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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