Hey can anyone help me prove this problem?

Let A and B be a subsets of R and bounded above.

Let InfA=a and InfB=b.

Let C= {xy ; x belongs to A, and y belongs to B}

Prove that InfC=ab

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- October 1st 2012, 06:38 PMsalmasterHelp with real analysis/advanced calculus
Hey can anyone help me prove this problem?

Let A and B be a subsets of R and bounded above.

Let InfA=a and InfB=b.

Let C= {xy ; x belongs to A, and y belongs to B}

Prove that InfC=ab - October 2nd 2012, 01:53 AMemakarovRe: Help with real analysis/advanced calculus
This is not necessarily true. Let A = (-3, 0) and B = (-5, 0). Then C = (0, 15), but (inf A) * (inf B) = 15.

Edit: Since the problem is about calculus, it should go into the Calculus forum.