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Which of the following could be t if |5t – 8| < 1?

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Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 10 Dec 2016, 05:22
3
3
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:51) correct 21% (01:42) wrong based on 481 sessions

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Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 10 Dec 2016, 06:57
Plug in the all the values given in the option, of t and check, only C satisfies the modulus. Hence, answer will be (C). What is OA
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Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 10 Dec 2016, 08:31
Bunuel wrote:
Which of the following could be t if |5t – 8| < 1?

A. 5/8
B. 5/4
C. 5/3
D. 5
E. 10


Subsitute the values of t , none except (C) works...

(C) \(|5t – 8| = |5*\frac{5}{3} – 8| = |\frac{25 – 24}{3}| = \frac{1}{3} < 1\)

Hence, correct answer will be (C)


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Re: Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 12 Dec 2016, 08:30
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Bunuel wrote:
Which of the following could be t if |5t – 8| < 1?

A. 5/8
B. 5/4
C. 5/3
D. 5
E. 10


prashantrchawla wrote:
Plug in the all the values given in the option, of t and check, only C satisfies the modulus. Hence, answer will be (C). What is OA


To supplement your explanation, plugging the answer choices in is a great start, but eliminating a few first helped me solve this quickly.

Looking at the question itself, 5t - 8 MUST equal a fraction for the absolute value to be less than 1. It's easy to see choices D and E are way too large to satisfy the equation. Eliminate.

Further examining the remaining answer choices, we need to find a choice for t that brings 5t's absolute value to just greater than 8. Choice A is too small. Eliminate.

Without putting pen to paper, I was able to eliminate 3 out of 4 choices by reading the question and taking a couple seconds to really understand what t needed to equal.

Plugging the remaining choices in, I arrived at C for the correct answer.
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Re: Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 22 Jun 2017, 07:42
1
1
-1< 5t – 8 < 1
-1+8 < 5t < 1+8
7< 5t <9
(7/5) < t <(9/5)
2.5 < t < 4.5

Only option (c) fits in this range.
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Re: Which of the following could be t if |5t – 8| < 1?  [#permalink]

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New post 23 Jun 2017, 12:40
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\(|5t – 8| < 1\)

\(-1 < 5t-8 < 1\)

\(7 < 5t< 9\)

This means the value of 5t should be \(in between 7 & 9\)

Now lets cross check the options.

\(A. 5/8\) = Value of \(5t = 5 * 5/8 = 25/8 = 3\).Something (Note we do not need to calculate exact value as we are looking for value which lies in between 7 & 9, 3 is not in between 7 & 9
\(B. 5/4\) = Value of \(5t = 5 * 5/4 = 25/4 = 6\).Something, 6 is not in between 7 & 9
\(C. 5/3\) = Value of \(5t = 5*5/3 = 25/3 = 8\).Something, 8.Something is definitely in between 7&9 - This is the Answer
\(D. 5\) = Value of \(5t = 5*5 = 25\), Clearly not in between 7*9
\(E. 10\) = Value of \(5t = 5*10 = 50\), Clearly not in between 7*9

Hence, the Answer is C = 5/3
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Re: Which of the following could be t if |5t – 8| < 1?  [#permalink]

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