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Stabiliti valoarea de adevar a propozițiilor.
a)1 aparțineR\(1,infinit)
b)N inclus[0,8]
c) {-1,1}inclus[-1,1)
d) [-1,1] inclus(-2,3supra2)
e) (2,pi)inclus[2,radical10]
Urgent. Va rog...


Răspuns :

a)fals
b)fals
c)fals
d)adevărat
e)adevărat
[tex]1)\quad 1\in\mathbb_{R}$ $\backslash$ $(1,+\infty) \Leftrightarrow 1\in (-\infty,1] \quad $(A)$ \\ \\ 2)\quad \mathbb_{N}\subset $ $ [0,8] \quad $(F)$ , $ deoarece $\mathbb_{N} \supset $ [0,8] \\ \\$ [0,8] $ este inclus in $\mathbb_{N} $ ci nu invers.[/tex]

[tex]c)\quad \{-1,1\} \subset[-1,1) \quad $(F) \\ $ $ deoarece 1 nu apartine [-1,1). \\ \\ $d) \quad [-1,1]\subset \Big(-2,\dfrac{3}{2}\Big) \quad $(A)$ \\ \\ $deoarece si -1 $\ \textgreater \ -2 $ si $ 1 \ \textless \ \dfrac{3}{2}[/tex]

[tex]e)\quad (2,\pi) \subset [2,\sqrt{10}] \\ \\ \left\| \begin{array}{c} \pi \approx 3,14 \\ \sqrt{10} \approx 3,16 \end{array} \right| \Rightarrow \pi \ \textless \ \sqrt{10} \\ \\ \\ \Rightarrow (2,\pi) \subset [2,\sqrt{10}] \quad $(A)[/tex]