soni_pallavi wrote:Hello Community
Could you plz provide an explanation for the following question
Q2) If x > y^2 > z^4,which of the following statements could be true
I. x > y > z
II. z > y > x
III.x > z > y
A. I only
B. I and II only
C. 1 and III only
D. II and III only
E. I, II and II
Try to prove that statements I, II and III CAN BE TRUE by plugging in DIFFERENT types of numbers:
integers, fractions, negative numbers, etc.
Consider NONNEGATIVE INTEGERS:
x=2, y=1, z=0.
Since x=2, y²=1 and z�=0, x > y² > z�.
In this case, x>y>z.
Eliminate D, which does not include statement I.
Consider FRACTIONS:
x=1/5, y=1/3, z=1/2.
Since x=1/5, y²=1/9, and z�=1/16, x > y² > z�.
In this case, z>y>x.
Eliminate A and C, which do not include statement II.
Consider NEGATIVE numbers:
x=10, y=-2, z=-1.
Since x=10, y²=4, and z�=1, x > y² > z�.
In this case, x>z>y.
Eliminate B, which does not include statement III.
The correct answer is
E.
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