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f(x) = abs(x), the "absolute value"-funtion is the function defined as follows:
f(x) = x iff x>=0 and f(x) = -x if x<0.
We are asked to solve f(x) = 45, hence:
if x>=0 then f(x) = x = 45
if x<0 then f(x) = -x = 45 iff x = -45.
So, the answer is: 45 and -45.
But only because 45 and -45 are indeed integers.
If the question had been which numbers have an absolute value of 45, then we can include the complex numbers. We will then arrive at all numbers lying on the circle with radius 45.
f(x) will take another form for complex numbers:
f(x) = (Re(x)^2 + Im(x)^2)^(1/2).
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When adding 2 integers will the answer be positive?
When adding two integers, the answer will be positive if both integers are positive, or if one is negative but its absolute value is smaller than the absolute value of the positive integer.
What do integers and absolute value have to do with each other?
The absolute value of an integer is the value of the integer without regard to its sign. The absolute value need not be an integer.
Do only integers have absolute value?
No. Absolute value applies to the set of real numbers.
What is the absolute value of negative 45?
45 is.
What is the connection between absolute value and integers?
None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.
