Question

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

Answer 1

Răspuns:

$\displaystyle{ x \in (-\infty; \frac{-3}{7}) }$

Explicație pas cu pas:

$\displaystyle{ 2\cdot (1 - x) \geqslant 4 \cdot (3x + 2) }$

$\displaystyle{ 2 - 2x \geqslant 12x + 8 }$

$\displaystyle{ 2 \geqslant 14x + 8 }$

$\displaystyle{ 14x + 8 \leqslant 2 }$

$\displaystyle{ 14x \leqslant 2 - 8 }$

$\displaystyle{ 14x \leqslant -6 }$

$\displaystyle{ x \leqslant \frac{-6}{14} }$

$\displaystyle{ x \leqslant \frac{-3}{7} }$

$\displaystyle{ x \in (-\infty; \frac{-3}{7}) }$