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How many possible positive integer values are there for k if -24 < 9k

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How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 13 Nov 2016, 10:12
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How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?


A) Zero
B) One
C) Two
D) Three
E) Four
Math Expert
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Posts: 52938
Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 13 Nov 2016, 10:30
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SW4 wrote:
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?


A) Zero
B) One
C) Two
D) Three
E) Four


-24 < 9k – 6 ≤ 3

Add 6: -18 < 9k ≤ 9

Divide by 9: -2< k ≤ 1.

k can take only one positive integer value: 1.

Answer: B.
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Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 13 Nov 2016, 23:01
SW4 wrote:
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?


A) Zero
B) One
C) Two
D) Three
E) Four


-24 < 9k – 6 ≤ 3

Or, -24 +6 < 9k ≤ 3 + 6

Or, -18 < 9k ≤ 9

Or, -2 < k ≤ 1

Since, k must be a positive integer ; k = 1

Hence, correct answer will be (B) 1
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Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 12 Feb 2018, 06:27
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Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 12 Feb 2018, 06:48
karthikkaushik91 wrote:
Is 0 not counted?


Sent from my iPhone using GMAT Club Forum


The question stem is asking for all positive integer values . Moreover zero is a non negative integer, thus it is not counted.


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Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 13 Feb 2018, 16:57
SW4 wrote:
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?


A) Zero
B) One
C) Two
D) Three
E) Four


Simplifying the given inequality, we have:

-24 < 9k – 6 ≤ 3

-18 < 9k ≤ 9

-2 < k ≤ 1

So k can be -1, 0, or 1. There is only one positive value among these possible values for k, which is 1.

Answer: B
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Re: How many possible positive integer values are there for k if -24 < 9k  [#permalink]

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New post 28 Jan 2019, 03:56
SW4 wrote:
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?


A) Zero
B) One
C) Two
D) Three
E) Four


-24 < 9k – 6 ≤ 3

Add 6 throughout the inequality

-24 + 6 < 9k ≤ 9

-1 < k ≤ 1

Only 1 +ive value

1

B
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Re: How many possible positive integer values are there for k if -24 < 9k   [#permalink] 28 Jan 2019, 03:56
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