If r < 0, there exists no x ∈ R such that x^2 = r?

• If r < 0, there exists no x ∈ R such that x^2 = r?

Prove that $\forall d > 0$ there exists $x_1, x_2 \in \mathbb{R} ... we can conclude that$\forall d > 0$there exists$x_1, x_2 \in \mathbb{R}\$ such ...
Positive: 31 %
... For every x ∈ R\{0} there is y ∈ R such that ... and for any ε > 0 there exists x ∈ A such that a < x+ε. 7. ... {x > 0|x2 < a}. Since 12 = 1, ...
Positive: 28 %

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... if there exists a number M ∈ Rsuch that x ≤ M ... {x ∈ R: x2 +x+1 ... For the second assertion assume that there is an ε0 > 0 such that there is ...