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Rezolvați in Mulțimea R inecuatia: 2(1-x)>sau egal 4(3x+2)

Răspuns :

Răspuns:

[tex]\displaystyle{ x \in (-\infty; \frac{-3}{7}) }[/tex]

Explicație pas cu pas:

[tex]\displaystyle{ 2\cdot (1 - x) \geqslant 4 \cdot (3x + 2) }[/tex]

[tex]\displaystyle{ 2 - 2x \geqslant 12x + 8 }[/tex]

[tex]\displaystyle{ 2 \geqslant 14x + 8 }[/tex]

[tex]\displaystyle{ 14x + 8 \leqslant 2 }[/tex]

[tex]\displaystyle{ 14x \leqslant 2 - 8 }[/tex]

[tex]\displaystyle{ 14x \leqslant -6 }[/tex]

[tex]\displaystyle{ x \leqslant \frac{-6}{14} }[/tex]

[tex]\displaystyle{ x \leqslant \frac{-3}{7} }[/tex]

[tex]\displaystyle{ x \in (-\infty; \frac{-3}{7}) }[/tex]