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Question

If x and y are integers such that x2>y2, then x3>y3. State whether the statement is true (T) or false (F).


A
True
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B
False
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Solution

The correct option is B False

Verify the given statement

Let x=-2 and y=1

Then, x2=(-2)2=4

And, y2=1

So, x2>y2

Now, x3=(-2)3=-8

And, y3=1

Clearly, x3<y3

Hence, the given statement is false.


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