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The greatest even integer less than 2 is 0, and the smallest even integer greater than 1 is 2. Therefore, the sum of these two integers is 0 + 2, which equals 2.
The greatest positive even integer less than 12 is 10
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A counterexample to the statement "the difference of two integers is less than either integer" can be demonstrated with the integers 5 and 3. The difference is (5 - 3 = 2). Here, 2 is not less than either integer, as it is less than 5 but greater than 3. Thus, this example shows that the difference can be less than one integer but not the other.
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.
The greatest even integer less than 2 is 0, and the smallest even integer greater than 1 is 2. Therefore, the sum of these two integers is 0 + 2, which equals 2.
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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.
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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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-2 is the greatest negative even integer.
1 ... 2 ... An integer is just a whole number.