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Because that is the definition of absolute values
One could argue from a purely philosophical standpoint that freedom can never be absolute as we are all products of both our nurture and nature. It could be argued that it must follow therefore that there is an element of predetermination to our actions. This broad category (history, politics & society) does cover philosophy but I can not be certain that you are meaning the question in this sense. Therefore, ignoring a philosophical debate, the simple answer is that freedom is not absolute as society has found that it functions best when there are laws to govern (and therefore restrict and control) people's behaviour.
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
The Celsius scale is not absolute. It has no absolute value.
First, simplify the equation: absolute (3x-1) = absolute (x+5) absolute (2x) = absolute (6) absolute (x) = absolute (3) which really means plus or minus 3, or, (+/-3) Now you have x = +/- 3, so test out x = 3 and x = -3. Test out x = 3: absolute (3*3-1) = absolute (3+5) absolute (9-1) = absolute (8) ---> absolute 8 = absolute 8 --> 8=8 which is correct! Now test x = -3 absolute (3*(-3)-1) = absolute (-3+5) ---> absolute (-9-1) = absolute (2) absolute (-10) = absolute 2 ---> 10 = 2 Since 10 does not equal 2, this is not a correct answer. Therefore x = 3.