I am having trouble with this problem.
Suppose that A and B are subsets of R (reals) and that |a - L| < p for all a in A and that |3b - L| < q for all b in B.
Prove that |a - 6b| < p + 2q + |L|.
Any help would be appreciated.
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I am having trouble with this problem.
Suppose that A and B are subsets of R (reals) and that |a - L| < p for all a in A and that |3b - L| < q for all b in B.
Prove that |a - 6b| < p + 2q + |L|.
Any help would be appreciated.