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Ther are no distinct whole numbers a,b and c such that a÷(b÷c)=a÷(b÷c). Is this statement is true or false?
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Ther are no distinct whole numbers a,b and c such that a÷(b÷c)=a÷(b÷c)...
Statement: There are no distinct whole numbers a, b, and c such that a÷(b÷c) = a÷(b÷c).

Solution:

We need to check whether the given statement is true or false.

Let's simplify the expression a÷(b÷c) using the division rule of fractions:

a÷(b÷c) = a x (c/b) = ac/b

Similarly, a÷(b÷c) can be simplified as:

a÷(b÷c) = a x (c/b) = ac/b

So, we have:

ac/b = ac/b

This means that the given statement is always true, regardless of the values of a, b, and c. Therefore, there are no distinct whole numbers a, b, and c such that a÷(b÷c) = a÷(b÷c).

Conclusion: The statement "There are no distinct whole numbers a, b, and c such that a÷(b÷c) = a÷(b÷c)" is true.
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