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Question
If w<x<z and w<y<z, which of the following statements must be true?
I. w<z
II. x<y
III. y<z
If w<x<z and w<y<z, which of the following statements must be true?
I. w<z
II. x<y
III. y<z
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Solution
The correct option is D I and III only
Since w<x and x<zBy transitive property w<zSince w<y and y<zBy transitive property w<zFrom both the inequations it is true that w<zAlso, we know that y<zw<z an y<zWe cannot talk about relation between x,y because it is impossible to get it from the given dataOption D is correct
Since w<x and x<z
By transitive property w<z
Since w<y and y<z
By transitive property w<z
From both the inequations it is true that w<z
Also, we know that y<z
w<z an y<zWe cannot talk about relation between x,y because it is impossible to get it from the given data
Option D is correct
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