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/sci/ - Science & Math


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3971344 No.3971344 [Reply] [Original]

what now sci?
[spoiler]yeah, it's homework[/spoilersdontworkonsci]

>> No.3971363
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3971363

>>3971344
*/sci/

>> No.3971373

If an element is in AnB, then it is in A.
So if we were to try to remove an element in C that was not in A from AnB, nothing would happen.
So it's just (AnB)\C, which should be easier for you.

>> No.3971387

You that guy from openstudy?

>> No.3971397

>>3971373
ok... thanks

>>3971387
yea.

>> No.3971426 [DELETED] 

<span class="math"> x \in A \cap (B \backslash C) [/spoiler]
<span class="math">\Leftrightarrow x \in A[/spoiler] and <span class="math"> x \in (B \backslash C) [/spoiler]
<span class="math"> \Leftrightarrow x\in B [/spoiler] and <span class="math">x \notin C [/spoiler]
<span class="math"> \Leftrightarrow x \in A \cap B [/spoiler] and <span class="math"> x \notin A \cap C [/spoiler]
<span class="math">\Leftrightarrow x \notin (A \cap B) \backslash (A \cap C) [/spoiler]

>> No.3971437

<span class="math"> x \in A \cap (B \backslash C) [/spoiler]
<span class="math">\Leftrightarrow x \in A[/spoiler] and <span class="math"> x \in (B \backslash C) [/spoiler]
<span class="math"> \Leftrightarrow x\in B [/spoiler] and <span class="math">x \notin C [/spoiler]
<span class="math"> \Leftrightarrow x \in A \cap B [/spoiler] and <span class="math"> x \notin A \cap C [/spoiler]
<span class="math">\Leftrightarrow x \in (A \cap B) \backslash (A \cap C) [/spoiler]

Minor typo fixed

>> No.3971438
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3971438

>>3971426
thanks

>> No.3971443

>>3971437
again, thanks