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19 Mar 2020, 22:20
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C
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\(|-1 - 2| - |5 - 6| - |-3 + 4| =\) ?
(A) 25
(B) 23
(C) 1
(D) 3
(E) 5
(A) 25
(B) 23
(C) 1
(D) 3
(E) 5
20 Mar 2020, 00:55
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SajjadAhmad
\(|-1 - 2| - |5 - 6| - |-3 + 4| = 3 - 1 - 1 = 1 \)
IMO C
20 Mar 2020, 04:39
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This is a very simple question on the concepts of absolute values which tests your basic knowledge of absolute values.
Regardless of whether there is a positive number or a negative number within the modulus symbol, the output will always be positive. This should be your most fundamental understanding of the concepts of absolute value.
Let us look at the individual terms on the LHS, deal with them separately and then bring them all together at the end.
|-1-2| = |-3| = 3.
|5-6| = |-1| = 1
|-3+4| = |1| = 1.
Therefore, |−1−2|−|5−6|−|−3+4|= 3 – 1 – 1 = 3-2 = 1.
The correct answer option is C. Hope that helps!
Regardless of whether there is a positive number or a negative number within the modulus symbol, the output will always be positive. This should be your most fundamental understanding of the concepts of absolute value.
Let us look at the individual terms on the LHS, deal with them separately and then bring them all together at the end.
|-1-2| = |-3| = 3.
|5-6| = |-1| = 1
|-3+4| = |1| = 1.
Therefore, |−1−2|−|5−6|−|−3+4|= 3 – 1 – 1 = 3-2 = 1.
The correct answer option is C. Hope that helps!
