Question

Rezolvati in multimea Z* inecuatiile : a) |2x-7|<9 b)2|2x+3|-9<5​

Answer 1

Răspuns:

Explicație pas cu pas:

-9 < 2x - 7 < 9

-2 < 2x < 16

-1 < x < 8

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

____________

2|2x+3|-9<5​

2|2x+3| < 14

|2x+3| < 7

-7 <  2x + 3 <  7

-10 <  2x <  4

-5 <  x <  2

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

Answer 2

|2x-7|<9

-9<2x-7<9

-2<2x<16/:2

-1<x<8

x€{1............7}

2|2x+3|-9<5

2|2x+3|<14

|2x+3|<7

-7<2x+3<7

-10<2x<4/:2

-5<x<2

x€{-4;-3;-2;-1;1}