x is an integer greater than 1.
Quantity A : 3x+1
Quantity B : 4x
Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.
2 Explanations
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Anindita Dey
We can simplify A a little bit. We can write A as 3^x * 3. Now that 3^x is a positive number we can divide A and B by 3^x.
That leads us to: 3 ?? (4/3)^x.
Now because 4/3 is greater than 1, it's clear that if x's value increase the value of B will also increase. So at one point it will be greater than 3. Thus the answer is D.
2 Explanations