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Miha126
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Calculați: |2x+15| mai mare sau egal cu 13

Răspuns :

Rayzen
[tex]|2x+15| \geq 13 \Rightarrow \left\| \begin{array}{c} 2x+15\leq-13 \\ $sau$\\ 2x+15 \geq 13 \end{array} \right \Rightarrow\left\| \begin{array}{c} 2x\leq-13-15 \\ $sau$\\ 2x \geq 13 -15 \end{array} \right \Rightarrow\\ \\ \\[/tex]

[tex]\Rightarrow\left\| \begin{array}{c} 2x\leq-28 \\ $sau$\\ 2x \geq -2\end{array} \right \Rightarrow\left\| \begin{array}{c} x\leq-\dfrac{28}{2} \\ $sau$\\ x \geq -\dfrac{2}{2}\end{array} \right \Rightarrow\left\| \begin{array}{c} x\leq-14 \\ $sau$\\ x \geq -1\end{array} \right \Rightarrow \\ \\ \\ \Rightarrow \boxed{x\in \Big(-\infty,-14\Big]$ $\cup$ $\Big[-1,+\infty\Big) }[/tex]