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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- Sep 30th 2009, 03:17 PMlonghornSet Manipulation
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.