Respuesta :
The absolute value will always be a positive number while solving an equation that does not involve an absolute value could be any number.
The absolute value of a number n, written |n|, can be described
geometrically as the distance of n from 0 on the number line.
For instance, |42| = 42 and |–42| = 42. Both 42 and –42 are 42 units
from zero.
Algebraically, the absolute value of a number can be defined
piecewise as follows.
|x| = {
x, for x ≥ 0
–x, for x < 0
Examine the definition carefully. Because –x is the opposite of x,
–x is positive when x is negative. For instance, |–7.4| = –(–7.4) = 7.4.
Thus |x| are |–x| are never negative, and, in fact, |x| = |–x|.
On many graphing utilities, spreadsheets, and CAS, the absolute–
the value function is denoted abs. For example, abs(x–3) = |x–3|.
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