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If x satisfies |x - 1| + |x - 2| + |x - 3| > 6 , then
- a)0 < x < 4
- b)x < -2 or x > 4
- c)x < 0 or x > 4
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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If x satisfies |x - 1| + |x - 2| + |x - 3| > 6 , thena)0 <x <...
Graph of f (x) shows f (x) > 6 for x < 0 or x > 4
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If x satisfies |x - 1| + |x - 2| + |x - 3| > 6 , thena)0 <x <...
If x satisfies |x - 1| + |x - 2| + |x - 3| = 0, then it means that the sum of the absolute values of the differences between x and each of the numbers 1, 2, and 3 is equal to zero.
Since absolute values are always non-negative, the only way for the sum of three absolute values to be equal to zero is if each absolute value is equal to zero.
Therefore, x must be equal to 1, 2, and 3 simultaneously.
Since absolute values are always non-negative, the only way for the sum of three absolute values to be equal to zero is if each absolute value is equal to zero.
Therefore, x must be equal to 1, 2, and 3 simultaneously.
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If x satisfies |x - 1| + |x - 2| + |x - 3| > 6 , thena)0 <x < 4b)x< -2 or x > 4c)x < 0 or x >4d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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