Question

Am nevoie de ajutor!!! (sunt prost bata) ​

Answer 1

Explicație pas cu pas:

a)

$|x - 31| \leqslant 43$

$- 43 \leqslant x - 31 \leqslant 43 \ \ \Big| + 31$

$- 12 \leqslant x \leqslant 74$

$\implies x \in \Big[ - 12 ; 74\Big]$

b)

$|x - 5| < 99$

$- 99 < x - 5 < 99 \ \ \Big| + 5$

$- 94 < x < 104$

$\implies x \in \Big( - 94 ; 104\Big)$

c)

$\implies |x - 6| \leqslant 33$

$- 33 \leqslant x - 6 \leqslant 33 \ \ \Big| + 6$

$- 27 \leqslant x \leqslant 39$

$\implies x \in \Big[ - 27 ; 39\Big]$

d)

$|x - 28| < 45$

$- 45 < x - 28 < 45 \ \ \Big| + 28$

$- 17 < x < 73$

$\implies x \in \Big( - 17 ; 73\Big)$

Answer 2

8)

$\it |x+26| < 25 \Rightarrow -25 < x+26 < 25\bigg|_{-26} \Rightarrow -51 < x < -1 \Rightarrow S=(-51,\ -1)$

9)

$\it |x-12|\leq56 \Rightarrow -56\leq x-12\leq56\bigg|_{+12} \Rightarrow -44\leq x\leq68 \Rightarrow S=[-44,\ 68]$

10)

$\it |x-81| < 56 \Rightarrow -56 < x-81 < 56\bigg|_{+81} \Rightarrow 25 < x < 137 \Rightarrow S=(25,\ 137)$