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If P is a set of integers and 3 is in P, is every positive

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Re: If P is a set of integers and 3 is in P, is every positive  [#permalink]

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New post 04 Mar 2018, 06:40
Hi,
Thanks for the reply.
But what validates statement 1 is that for every integer , t, t+3 exists in the set, and as solution says, the set is infinite. It DOES ENSURE that all positive multiples of 3 are in the set.
The question stem reads " is every positive multiple of 3 in P?" Its doesn't say all the elements of P are multiple of 3. Domain of " all possible multiples of 3" is not same as the domain of set P, instead its much larger.

I hope I am able to convey the message.

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Re: If P is a set of integers and 3 is in P, is every positive  [#permalink]

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New post 04 Mar 2018, 09:54
Mudit27021988 wrote:
Hi,
Thanks for the reply.
But what validates statement 1 is that for every integer , t, t+3 exists in the set, and as solution says, the set is infinite. It DOES ENSURE that all positive multiples of 3 are in the set.
The question stem reads " is every positive multiple of 3 in P?" Its doesn't say all the elements of P are multiple of 3. Domain of " all possible multiples of 3" is not same as the domain of set P, instead its much larger.

I hope I am able to convey the message.

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Hi

As you yourself said, "statement 1 DOES ENSURE that all positive multiples of 3 are in the set". Hence it is sufficient to answer the Question with a YES

But statement 2 just ensures that all negative multiples of 3 are in P"..because its given that 3 is in P, so 3-3=0 also must be there, so 0-3 =-3 also must be there, so -3-3= -6 also must be there and so on... But we simply cannot say whether positive multiples of 3 are present in P or not. There could be some positive multiples of 3 in P, there could be ALL positive multiples of 3 in P who knows.. we just cannot answer the asked question with either a YES or a NO.. thats why statement 2 is not sufficient.
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Re: If P is a set of integers and 3 is in P, is every positive  [#permalink]

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New post 04 Mar 2018, 11:09
Ah Yes!

I can connect the dots now.

Thanks for your help amanvermagmat

Cheers!!

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Re: If P is a set of integers and 3 is in P, is every positive &nbs [#permalink] 04 Mar 2018, 11:09

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