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Absolute Value Equation : When you take the absolute value of a number, you always end up with a positive number (or zero). Whether the input was positive or negative (or zero), the output is always positive (or zero).
For example, | 3 | = 3, and | –3 | = 3 also.
This property — that both the positive and the negative become positive — makes solving absolute equation a little tricky. But once you learn the method, then its very easy. Solved examples on absolute value equation :
1) |x| = 3
Then x may be positive or negative 3.
So x = 3 or x = -3
2) Solve | x + 3| = 7
To remove the absolute sign we have to make two equations i.e. two possible cases