Question

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...

Answer 1

a)fals
b)fals
c)fals
d)adevărat
e)adevărat

Answer 2

$1)\quad 1\in\mathbb_{R} \backslash (1,+\infty) \Leftrightarrow 1\in (-\infty,1] \quad (A) \\ \\ 2)\quad \mathbb_{N}\subset [0,8] \quad (F) , deoarece \mathbb_{N} \supset [0,8] \\ \\ [0,8] este inclus in \mathbb_{N} ci nu invers.$

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

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