Question

b) Rezolvați inecuația
- 8x +17
-<-2.
4x - 7​

Answer 1

Răspuns: $\bf x \in ( -\infty, -\dfrac{3}{2} \Big]$

Explicație pas cu pas:

Salutare!

$\bf 8x+17\leq -2x\cdot4x-7$

$\bf 8x+17\leq -8x-7$

$\bf 8x+17 +8x\leq -7$

$\bf 16x\leq -7-17$

$\bf 16x\leq -24$

$\bf x\leq -\dfrac{24}{16}$

$\bf x\leq -\dfrac{\not24}{\not 16}$

$\bf x\leq -\dfrac{3}{2}\implies \boxed{\bf x\in( -\infty, -\dfrac{3}{2} \Big]}$

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