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If 3x + 1 represents an odd integer, which of the following

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If 3x + 1 represents an odd integer, which of the following [#permalink] New post 15 May 2018, 09:38
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If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1
[Reveal] Spoiler: OA

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Re: If 3x + 1 represents an odd integer, which of the following [#permalink] New post 16 May 2018, 06:53
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Carcass wrote:
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1


Some odd numbers: 1, 3, 5, 7, 9, 11, 13, 15,...
Notice that each successive odd number is 2 greater than the previous odd number

So, the next odd number (after 3x + 1) will be 3x + 1 + 2
Since 3x + 1 + 2 is not among the answer choices, we'll have to rewrite it.

First off, 3x + 1 + 2 = 3x + 3
Check the answer choices again....still not there.
We can take 3x + 3 and factor out the 3 to get: 3(x + 1)
Check the answer choices again....BINGO!

Answer: A

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Re: If 3x + 1 represents an odd integer, which of the following [#permalink] New post 06 Jun 2018, 12:01
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Carcass wrote:
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1



it's given that 3x+1= odd integer. Thus x must be even in order to get an odd integer.

suppose, x= 2 or x=4
then , 3*2+1=7 or 3*4+1=13
Now we have the clue the that next number could be 9 or 15

Scan the answer choices.
A)3(x+1)
=3(2+1)=9 ...................assume that x=2
or

3(x+1)=3(4+1)=15

Therefore we are sure that next odd integer will be 3(x+1).

Thus the best answer is A.
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Re: If 3x + 1 represents an odd integer, which of the following [#permalink] New post 02 Jan 2020, 06:44
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3x+1= odd integer.
If x = 1 then 3*1+1 = 4 not odd (x = 1,cancel)
If x = 2 then 3*2+1 = 7 odd.
Next larger odd is 9.
Input x = 2 in the answer choice. Correct answer is A which gives the value 9.
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Re: If 3x + 1 represents an odd integer, which of the following [#permalink] New post 02 Jan 2020, 19:31
We are given that 3x + 1 is an odd integer.
From this we know that 3x is an even integer.
Now, to get the next larger odd integer than 3x + 1 we need to add 2 more so that we get 3x + 3.

Let's start checking options,
Option A = 3x + 3. Exactly what we need. No need to go further.

OA, A

Carcass wrote:
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1

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Re: If 3x + 1 represents an odd integer, which of the following   [#permalink] 02 Jan 2020, 19:31
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If 3x + 1 represents an odd integer, which of the following

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