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21 Jun 2016, 03:12
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (02:06) correct
15%
(02:18)
wrong
based on 323
sessions
History
Date
Time
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Not Attempted Yet
Which of the following statements is equivalent to \(8 + 2X < 18 - 6X < 23 + 2X\)?
A. 4/5 < X < 2.5.
B. 4/5 < X < 8/5.
C. -5/8 < X < 5/4.
D. 2.5 < X < 3.5.
E. 5 < 8X < 12.
A. 4/5 < X < 2.5.
B. 4/5 < X < 8/5.
C. -5/8 < X < 5/4.
D. 2.5 < X < 3.5.
E. 5 < 8X < 12.
21 Jun 2016, 09:56
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Bunuel
\(8 + 2X < 18 - 6X < 23 + 2X\)
8<18-8x<23 (add -2x on all sides)
-10<-8x<5
10>8x>-5 (multiply by -1 on all sides)
5/4>x>-5/8
C is the answer
General Discussion
22 Jun 2016, 03:04
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Bunuel
8 + 2X < 18 - 6X < 23 + 2X
Taking one inequality at a time,
8 + 2X < 18 - 6X
8X < 10
X < 5/4 - (i)
18 - 6X < 23 + 2X
8X > -5
X > -5/8 - (ii)
Combining (i) and (ii),
-5/8 < X < 5/4
Correct Option: C
