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The greatest positive even integer less than 12 is 10
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Yes, the greatest integer function, often denoted as ⌊x⌋, is many-to-one. This means that multiple input values can produce the same output. For example, both 2.3 and 2.9 yield an output of 2 when passed through the greatest integer function, as both round down to the greatest integer less than or equal to the input. Thus, it is not a one-to-one function.
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-6
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The greatest positive even integer less than 12 is 10
Subtract any POSITIVE integer from -2, and you get an integer that is smaller.
The integer greater than -3 and less than 2 is -2. This is because it is the largest integer that is greater than -3 but still less than 2. In the number line, -2 falls between -3 and 2.
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The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.
The greatest even integer less than 2 is zero. The next greatest is -2. The sum of the two greatest even integers less than 2 is -2.
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1 ... 2 ... An integer is just a whole number.
-2 is the greatest negative even integer.
Yes, the greatest integer function, often denoted as ⌊x⌋, is many-to-one. This means that multiple input values can produce the same output. For example, both 2.3 and 2.9 yield an output of 2 when passed through the greatest integer function, as both round down to the greatest integer less than or equal to the input. Thus, it is not a one-to-one function.