Question: Consider the statement that min( a , min( b , c )) = min(min( a , b ), c ) whenever a , b ,

Consider the statement that min(a, min(b,c)) = min(min(a,b),c) whenevera,b, andcare real numbers.

Identify the set of cases that are required to prove the given statementusing proof by cases.

Multiple Choice.

  • a b c, a c b, b a c, b c a, c a b, c b a
  • a>b>c, a>c>b, b>a>c, b>c>a, c>a>b, c>b>a.a>b>c, a>c>b, b>a>c, b>c>a, c>a>b, c>b>a.
  • abc, acb, bac, bca, cab, cba.abc, acb, bac, bca, cab, cba.
  • a

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