1.

If the maximum value of ||x-3| - |x-2|| is a and minimum value of |x-1| + |x-2| is b, then find the value of (a+b).

Answer»

SOLUTION :As the maximum VALUE of `||x - x_(1)| x - x_(2)||` is `|x_(1)x_(2)|` and the minimum value of `|x-x_(3)| + |x - x_(4)|` is `|x_(3) - x_(4)|`. Hence, `a = |3-2| = 1, b = |2-1| = 1`
`rArr a+b = 2`


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