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08 Jan 2017, 08:09
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
86% (01:57) correct
14%
(02:02)
wrong
based on 1204
sessions
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Date
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Not Attempted Yet
Which of the following expresses the range of possible values for t if 0 < |5t − 8| < 1?
A. 2/5 < t < 14/5
B. 2/5 < t < 9/5
C. 7/5 < t < 14/5
D. 7/5 < t < 9/5
E. 9/5 < t < 14/5
A. 2/5 < t < 14/5
B. 2/5 < t < 9/5
C. 7/5 < t < 14/5
D. 7/5 < t < 9/5
E. 9/5 < t < 14/5
27 Feb 2018, 06:33
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|5t-8|<1
You have to calculate this for the 2 situations of when 5t-8 is positive and when 5t-8 is negative
when 5t-8 is +ve, |5t-8| = 5t-8
therefore, 5t-8<1 => t<9/5
when 5t-8 is -ve, |5t-8| = -(5t-8)
therefore, -(5t-8)<1 => 5t-8>-1 => t>7/5
the direct step for this sort of problems
|x|<y, then -y<x<y
|x|>y, then -y>x>y
You have to calculate this for the 2 situations of when 5t-8 is positive and when 5t-8 is negative
when 5t-8 is +ve, |5t-8| = 5t-8
therefore, 5t-8<1 => t<9/5
when 5t-8 is -ve, |5t-8| = -(5t-8)
therefore, -(5t-8)<1 => 5t-8>-1 => t>7/5
the direct step for this sort of problems
|x|<y, then -y<x<y
|x|>y, then -y>x>y
General Discussion
08 Jan 2017, 11:08
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Bunuel
if we put t=8/5 which is included in option A-D
then inequality doesnt hold
for E again value is greater than defined range 0 < |5t − 8| < 1
I m not getting the answer
Could any one help!!
Bunuel
is everything right with the Question??
