5
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you want something in the form of
|x + a| = b
you know that 2 and -3 both work, so of 2+a and -3+a, they have the same absolute value but different signs
so say -3+a = -(2+a)
-3+a = -2-a
2a=1
a=1/2
|x + 1/2| = b
so sub in 2
5/2 = b or 2 1/2 = b
so |x + 1/2| = 5/2 is a question
3
In mathematics, the absolute value of a given number is the positive form of the number, for example, if the answer to a problem turns out to be plus or minus 3, then the absolute value is 3.
A coefficient in front of the absolute value sign means to multiply that coefficient by the absolute value in the problem. For instance 3*ABS(-3) = 3*3 = 9.
The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.
The absolute value of a number is the number without any sign. |-3| = 3 and |2| = 2.