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Show that the operation vv and ^^ on ...

Show that the operation `vv` and `^^` on `R` defined as `avvb=` Maximum of `a` and `b` ; `a^^b=` Minimum of `a` and `b` are binary operations of `Rdot`

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`because vv` relates every pair (a,b) of `Rxx R` to max. unique element a or b .
`:.` It is binary .
`because ^^` relates every pair (a,b) of `RxxR` to min. unique element a or b.
`:.` It is binary.
Hence Proved.
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
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  17. Determine whether or not the definition of * On R , define by a*b=a...

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  18. Determine whether or not the definition of * On Z^+ , define * by a...

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