A={(a,b)∈IR^2 / a^2 +b^2 ≤1} prove that A can′t be written as the cartesian product of two parts of IR.


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Question Number 155729 by henderson last updated on 03/Oct/21
$A={(a,b)∈IR^2 / a^2 +b^2 ≤1} prove that A can′t be written as the cartesian product of two parts of IR.$
$A = {(a, b) \in {IR}^{2} / a^{2} + b^{2} ⩽ 1}$ $prove that A {can}^{'} t be written as the cartesian$ $product of two parts of IR .$
	Answered by Kamel last updated on 04/Oct/21
	$A={(a,b)∈R^2 / −1≤a≤1 , −(√(1−a^2 ))≤b≤(√(1−a^2 ))}$
	$A = {(a, b) \in R^{2} / - 1 ⩽ a ⩽ 1, - \sqrt{1 - a^{2}} ⩽ b ⩽ \sqrt{1 - a^{2}}}$
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