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