Prove De Morgan's law for set difference — task. Mathematics State Board, Class 9.

PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo

If $A = \{$1, 7, 12, 18, 20$\}$, $B = \{$3, 7, 11, 16, 18$\}$ and $C = \{$1, 3, 18, 22$\}$, then prove De Morgan's law of set difference and hence determine $(A - B) \cap (A - C)$.

1. De Morgan's law of set difference:

$A - (B \cup C) = (A - B) \cap (A - C)$
$A - (B \cap C) = (A - B) \cup (B - C)$
$A - (B \cap C) = (A - B) \cap (A - C)$
$A - (B \cup C) = (A - B) \cup (A - C)$

2. $(A - B) \cap (A - C)$

$\{1, 3, 7, 11, 16, 18, 22\}$
$\{7, 12, 20\}$
$\{1, 12, 20\}$
$\{12, 20\}$

Previous exercise

Exit to the topic

Next exercise

Send feedback

Did you find an error?

Send it to us!

5. Prove De Morgan's law for set difference

Exercise condition: