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A set of numbers has the property that for any number x in the set, x+3 is also in the set. If -3 is in the set, which of the following must also be in the set

1. -6
2. 0
3. 6

A: 1 only
B: 2 only
C: 1 and 2 only
D: 2 and 3 only
E. 1,2 and 3

What is your answer

This is a copy of the following OG problem: a-set-of-numbers-has-the-property-that-for-any-number-t-in-t-168728.html

Hi, bunuel the official answer says D, but -6 can can also be present in the set if the set is expanded on the left side,, plz clarify
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Bunuel
relyonnarayanan
A set of numbers has the property that for any number x in the set, x+3 is also in the set. If -3 is in the set, which of the following must also be in the set

1. -6
2. 0
3. 6

A: 1 only
B: 2 only
C: 1 and 2 only
D: 2 and 3 only
E. 1,2 and 3

What is your answer

This is a copy of the following OG problem: a-set-of-numbers-has-the-property-that-for-any-number-t-in-t-168728.html

Hi, bunuel the official answer says D, but -6 can canalso be present in the set if the set is expanded on the left side,, plz clarify

The question asks which of the following must also be in the set, not which of the following could also be in the set.
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This is a copy of the following OG problem: a-set-of-numbers-has-the-property-that-for-any-number-t-in-t-168728.html[/quote]

Hi, bunuel the official answer says D, but -6 can canalso be present in the set if the set is expanded on the left side,, plz clarify[/quote]

The question asks which of the following must also be in the set, not which of the following could also be in the set.[/quote]

Bunuel ,

may i knw whats the dofference between must and could!!! more importantly, i expand the set to the right side to get 6, similarly it s expandable to left side as well to get -6
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mohshu


may i knw whats the dofference between must and could!!! more importantly, i expand the set to the right side to get 6, similarly it s expandable to left side as well to get -6

Check similar question here for the answer to your question: a-set-of-numbers-has-the-property-that-for-any-number-t-in-t-98829.html
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As per question if x is there then x+3 must also be there

So if -3 is there then
-3,0,3,6,9 ...
All these numbers are there

-6 can't say as we don't know about x-3 case ,it could be or could not be

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We are given two statements.
If x is in the set, x+3 is in the set as well
- 3 is in the set
and we want to see if -6, 0 , and 6 must be in the set

Since we are given -3 is in the set, we know 0 is also in the set by plugging in -3 for x into x+3. Again, plug 0 into x, 0+3. We know that 3 is also in the set. Repeating this, we know that -3,0,3,6,9,12……
are also in the set. Since the values only increase, and we started with -3, -6 cannot be in the set. Therefore the answer is 0 and 6
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Given: A set of numbers has the property that for any number x in the set, x+3 is also in the set.
Asked: If -3 is in the set, which of the following must also be in the set

Set = {-3,0,3,6,....}

1. -6
2. 0
3. 6

A: 1 only
B: 2 only
C: 1 and 2 only
D: 2 and 3 only
E. 1,2 and 3

IMO D
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