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a. Define

`F:Z->Z`

by the rule

`F(n)=2-3n`

, for all integers

`n`

. (i) Is

`F`

one-to-one? Prove or give a counterexample. (ii) Is

`F`

onto? Prove or give a counterexample. b. Define

`G:R->R`

by the rule

`G(x)=2-3x`

for all real numbers

`x`

. Is

`G`

onto? Prove or give a counterexample.