A set of numbers has the property that for any number x in the set, x+

Question

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

Bunuel · 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

Razween · Answer

If X is in the set than X+ 3 is also in the set

If -3 in the set than

-3+3= 0 is also in the set

Since + 3 is Present, 3 + 3= 6 Is also present in the set .

Therefore Ans D

mohshu · Answer

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

Bunuel · Answer

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

mohshu · 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[/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

Bunuel · Answer

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

push12345 · Answer

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

Give kudos if it helps

Posted from my mobile device

JaeTPU · Answer

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

Kinshook · Answer

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

bumpbot · Answer

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A set of numbers has the property that for any number x in the set, x+

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