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Show that the function `f : R to R : f (x) = {[-1 if x is irrational ], [1 if x is rational ]}` is many-one into. Find `(i) f ((1)/(2)) (ii) f (sqrt(2

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Show that the function
`f : R to R : f (x) = {[-1 if x is irrational ], [1 if x is rational ]}`
is many-one into.
Find `(i) f ((1)/(2)) (ii) f (sqrt(2)) (iii) f (pi) (iv) f (2 +sqrt(3))`
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Correct Answer - (i) 1 (ii) -1 (iii) -1 (iv) -1
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