Carcass wrote:
\(9<x<10\)
Quantity A |
Quantity B |
\(x^2\) |
\(99\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
GIVEN: \(9<x<10\)\(\sqrt{81}=9\)
\(\sqrt{100}=10\)
So, we can rewrite the given information as follows:
GIVEN: \(\sqrt{81}<x<\sqrt{100}\)So, it could be the case that \(x = \sqrt{82}\), in which case \(x^2 = 82\), which means
Quantity B is greater It could also be the case that \(x = \sqrt{99}\), in which case \(x^2 = 99\), which means
the two quantities are equal It could also be the case that \(x = \sqrt{99.5}\), in which case \(x^2 = 99.5\), which means
Quantity A is greater Answer: D