propsitions

Question

Difference bw a) and d) ....  Shouldn't both be true for all real numbers?

Comments

@Manu

D) is also true for $x=-1$

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So  a) is saying that there should exist some y such that for all x , x= - x² should be satisfied

eg x= {  ........ -2,-1,0, 1 ,2 3.......} x= - x² should be satisfied but its only possible for {0,-1}

d) is saying that there should exist some x such that for all y  , y= y should be satisfied which is true for x= 0 and -1.. 

Am i right joshi_nitish, Anu007 ,Manu Thakur sir ?  

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as Nitish said, (D) is true for -1 also.