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DaniilM [7]
3 years ago
8

I need help if 12 counters are 3/4of a set then what is the whole set

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0
The whole answer is 16 counters 
Hope this helps
jeyben [28]3 years ago
5 0
12 = 3/4 * x
12 ÷ 3/4 = x
12 * 4/3 = x
48/3 = x
16 = x

Answer: The whole set is 16 counters
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See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

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¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

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