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What is wrong with the following statement: if r/s = t, then r ⋅ t = s?

1) The statement is correct
2) The statement is incorrect
3) The statement is incomplete
4) None of the above

1 Answer

3 votes

Final answer:

The statement is incorrect because if r/s equals t, then r equals s times t, not r times t equals s.

Step-by-step explanation:

What is wrong with the following statement: if r/s = t, then r ⋅ t = s? The correct choice is 2) The statement is incorrect. The correct manipulation of the original equation would be to multiply each side by s to isolate r, which gives us r = s ⋅ t and not r ⋅ t = s. Therefore, if r/s equals t, it implies that r equals s times t, not that r times t equals s.

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