We have x is an integer greater than 1.

Now we have here:

\(3^(^x^+^1^)\) compared to \(4^x\)

which can be rewritten as:

\(3 * 3^x\) compared to \(4^x\)

or

\(3\) compared to \(\frac{4^x}{3^x}\)

or \(3\) compared to \(1.3333^x\)

Now we can see that for some values of x such as 2 and 3 Quantity A is bigger for every other value of x Quantity B is greater.

Thus D is the correct option.

_________________

Sandy

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