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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

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24 Sep 2012, 05:04

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SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

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28 Sep 2012, 04:55

Expert's post

SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone. _________________

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

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24 Jun 2013, 05:06

Bunuel wrote:

SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

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24 Jun 2013, 05:12

Expert's post

Rs1991 wrote:

Bunuel wrote:

SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Answer: B.

why is it not -1, 0, 1, 2, 3 ?

Because -1 is LESS than -4/5, and n must be more than -4/5. _________________

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

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05 Sep 2013, 23:18

1

This post received KUDOS

A table showing values of 5n+1 for various values of n. Just need to note the constraint that 1<5n+5<25 (valid values are in green, invalid in red) and count how many valid numbers there are for n.

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