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

Question

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 · Answer

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

Abhishek009 · Answer

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)

Ramrod2615 · Answer

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.

Sachin07 · Answer

-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.

ydmuley · Answer

|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

ScottTargetTestPrep · Answer

When (5t - 8) is positive, we have:

5t - 8 < 1

5t < 9

t < 9/5

When (5t - 8) is negative, we have:

-(5t - 8) < 1

-5t + 8 < 1

-5t < -7

t > 7/5

Thus, t could be 5/3.

Answer: C

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?

Prep Toolkit

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