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irina1246 [14]
3 years ago
9

One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.

Mathematics
1 answer:
madreJ [45]3 years ago
5 0
The answer is (b. 8x - x = 70).
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See proof below

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Remember, an upper bound of an ordered set A is an element u∈A such that u≥a for all a∈A. A is bounded above when A has an upper bound. The supremum of A exists when A is bounded above (careful, this is only true for subsets of real numbers!). It is the least upper bound of A, that is, supA≤u for all upper bounds of A, u.

Since we want to prove an "if and only if" statement, we have to prove the following to implications:

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