Which of the following Venn diagrams corresponds to the statement "All mothers are women"? ($M$ is the set of all mothers,$W$ is the set of all women)

  • A
    Option A
  • B
    Option B
  • C
    Option C
  • D
    Option D

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Find the union of each of the following pairs of sets:
$X = \{1, 3, 5\}, Y = \{1, 2, 3\}$

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Let $A = \{ \theta : 2\cos^2 \theta + \sin \theta \le 2 \}$ and $B = \{ \theta : \frac{\pi}{2} \le \theta \le \frac{3\pi}{2} \}$,then $A \cap B$ is

If $A = \{ x : x \text{ is an integer and } x^2 - 9 = 0 \}$,$B = \{ x : x \text{ is a natural number and } 2 \leq x < 5 \}$,and $C = \{ x : x \text{ is a prime number } \leq 4 \}$,then $(B - C) \cup A$ is:

Which Venn diagram represents the truth of the statement "No child is naughty"?
Where $U$ = Universal set of human beings,$C$ = Set of children,$N$ = Set of naughty persons.

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