Răspuns :

Răspuns:

Explicație pas cu pas:

| 2x-7 | < 9

-9 < 2x - 7 < 9

-2 < 2x < 16

-1 < x < 8

x = {0, 1, 2, 3, 4, 5, 6, 7}

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2*I2x + 3I - 9 :< 5

2*I2x + 3I < 14

I2x + 3I < 7

-7 < 2x + 3 < 7

-10 < 2x < 4

-5 < x < 2

x = {-4, -3, -2, -1, 0, 1}

[tex]\it |2x-7|<9 \Rightarrow -9<2x-7<9|_{+7} \Rightarrow -2<2x<16|_{:2} \Rightarrow -1<x<8\ \ \ \ (1)\\ \\ x\in\mathbb{Z}^*\ \ \ \ \ (2)\\ \\ (1),\ (2) \Rightarrow x\in\{1,\ \ 2,\ \ 3,\ \ 4,\ \ 5,\ \ 6,\ \ 7\}[/tex]