Mathematical logic

Question

what is the truth value of this if x,y belong to real numbers

$\exists x\forall y(y\neq 0 \rightarrow xy=1)$

am getting true,but given answer is false.

Comments

the logic statement says there exist an x, for which is true for every y. So, this is false.

this would be true if the logic statement was like $\forall y \,\exists x(y\neq 0 \rightarrow xy=1)$, this would be true.

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u mean

$\exists x\forall y $ means sab y k lie ek x exist karta h , matlab koi ek aisa x hona chahie jispe sb y multiplykarne pr 1 dete ho!

$\forall y\exists x$ means har y k lie koi na koi x exist krta h ,jise multiply karne par wo 1 dede

am i right??

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@Gate Fever bilkul sahi bhai