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17 Apr 2018, 01:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (00:50) correct
28%
(01:08)
wrong
based on 975
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What is the smallest possible value of |10 – x| − 4 ?
A. -4
B. 4
C. 6
D. 8
E. 14
A. -4
B. 4
C. 6
D. 8
E. 14
19 Apr 2018, 16:53
Kudos
Bookmarks
Bunuel
What is the smallest possible value of |10 – x| − 4 ?
A. -4
B. 4
C. 6
D. 8
E. 14
A. -4
B. 4
C. 6
D. 8
E. 14
To minimize the value of |10 – x| − 4, we want |10 – x| to be as small as possible. Because any absolute value expression can never be negative, we see that the smallest possible value of |10 – x| is zero. Thus, x must be 10, and so the smallest value of |10 – x| - 4 = -4.
Answer: A
General Discussion
17 Apr 2018, 01:53
Kudos
Bookmarks
Bunuel
What is the smallest possible value of |10 – x| − 4 ?
A. -4
B. 4
C. 6
D. 8
E. 14
A. -4
B. 4
C. 6
D. 8
E. 14
Of the answer options available, we need to check
which option is the smallest value possible for the expression |10 – x| − 4
At x=10, the expression's value is |10 – 10| − 4 = 0-4 = -4(Option A) and is the smallest possible value.
