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If 0 < a <1 and 0 < b < 1 and if a < b, which of the following expressions will have the highestvalue?
- a)(a M b)
- b)(a D b)
- c)(a P b)
- d)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 0 < a <1 and 0 < b < 1 and if a < b, which of t...
Again (a + b) or a/b can both be greater than each other depending on the values we take for a and b.
E.g. for a = 0.9 and b = 0.91, a + b > a/b.
For a = 0.1 and b = 0.11, a + b < a/b
E.g. for a = 0.9 and b = 0.91, a + b > a/b.
For a = 0.1 and b = 0.11, a + b < a/b
Most Upvoted Answer
If 0 < a <1 and 0 < b < 1 and if a < b, which of t...
To determine which of the given expressions will have the highest value, let's analyze each expression one by one.
1. (a M b):
The M symbol represents the maximum operation, which means it will output the larger value between a and b. Since both a and b can only take the values 0 or 1, the maximum value will always be 1. Therefore, the expression (a M b) will always evaluate to 1.
2. (a D b):
The D symbol represents the division operation. Since a and b can only take the values 0 or 1, the division of either 0 or 1 by 1 will always result in the same value as the numerator. Therefore, the expression (a D b) will always evaluate to the same value as a.
3. (a P b):
The P symbol represents the product operation, which means it will output the multiplication of a and b. Since both a and b can only take the values 0 or 1, the product of 0 and 1 will always be 0. Therefore, the expression (a P b) will always evaluate to 0.
Based on the analysis above, we can conclude that the expression (a M b) will have the highest value, which is 1. The other expressions will always evaluate to either 0 or the same value as a.
Therefore, the correct answer is option D - Cannot be determined.
1. (a M b):
The M symbol represents the maximum operation, which means it will output the larger value between a and b. Since both a and b can only take the values 0 or 1, the maximum value will always be 1. Therefore, the expression (a M b) will always evaluate to 1.
2. (a D b):
The D symbol represents the division operation. Since a and b can only take the values 0 or 1, the division of either 0 or 1 by 1 will always result in the same value as the numerator. Therefore, the expression (a D b) will always evaluate to the same value as a.
3. (a P b):
The P symbol represents the product operation, which means it will output the multiplication of a and b. Since both a and b can only take the values 0 or 1, the product of 0 and 1 will always be 0. Therefore, the expression (a P b) will always evaluate to 0.
Based on the analysis above, we can conclude that the expression (a M b) will have the highest value, which is 1. The other expressions will always evaluate to either 0 or the same value as a.
Therefore, the correct answer is option D - Cannot be determined.
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Community Answer
If 0 < a <1 and 0 < b < 1 and if a < b, which of t...
Again (a + b) or a/b can both be greater than each other depending on the values we take for a and b.
E.g. for a = 0.9 and b = 0.91, a + b > a/b.
For a = 0.1 and b = 0.11, a + b < a/b
E.g. for a = 0.9 and b = 0.91, a + b > a/b.
For a = 0.1 and b = 0.11, a + b < a/b
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