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19 Apr 2021, 04:15
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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:
35%
(medium)
Question Stats:
68% (01:39) correct
32%
(01:49)
wrong
based on 406
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Children who ride the roller coaster must be between 24 and 52 inches tall. If x represents the height in inches of a child who may ride the roller coaster, which of the following absolute value inequalities represents all possible values of x?
A. |x – 24| < 52
B. |x – 28| < 14
C. |x – 38| < 14
D. |x – 14| < 38
E. |x – 28| < 52
A. |x – 24| < 52
B. |x – 28| < 14
C. |x – 38| < 14
D. |x – 14| < 38
E. |x – 28| < 52
19 Apr 2021, 09:15
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Bunuel
Given: \(24 < x <52\)
\(|x - 38| < 14\) has 2 cases:
Case1
\(x - 38 < 14\)
\(x < 52\)
Case2
\(-x + 38 < 14\)
\(-x < -24\)
\(x > 24\)
or \(24 < x <52\)
General Discussion
20 Apr 2021, 00:27
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We have 24 < x < 52
According to options, 38 is the point which will go 14 points right to become 38 + 14 = 52 and 14 points left to become 38 - 14 = 24.
Hence, Answer C
According to options, 38 is the point which will go 14 points right to become 38 + 14 = 52 and 14 points left to become 38 - 14 = 24.
Hence, Answer C
