Consider the statement : x (alpha - x) y (alpha - y) for all x,y with 0 x - Maths - Mathematical Reasoning

Question

Consider the statement : x (alpha - x) < y
(alpha - y) for all x,y with 0<x<y<1 The statement is
true
(a) if and only if alpha is greater than equal to 2
(b) if and only if alpha is greater than 2
(c) if and only if alpha is less than -1

Rishabh Mittal · Accepted Answer

xα-xxFor x-yα-x+y<0α-x+y>0α>x+yα≥2 since x+y<2Correct answer is a if and only if is α greater than equal to 2

Consider the statement : x (alpha - x) < y (alpha - y) for all x,y with 0<x<y<1 . The statement is true .. (a) if and only if alpha is greater than equal to 2 (b) if and only if alpha is greater than 2 (c) if and only if alpha is less than -1

Consider the statement : x (alpha - x) < y (alpha - y) for all x,y with 0<x<y<1 . The statement is true ..
(a) if and only if alpha is greater than equal to 2
(b) if and only if alpha is greater than 2
(c) if and only if alpha is less than -1