Question

Aflati numerele naturale x care sunt solutii pentru fiecare din urmatoarele inecuatii:
a) 3x-2<7

c)2(3x-7)<10

b)5x+1<=26

d)6[(2x+1)*3-5]+8<=356

Answer 1

a) 3x-2<7
3x<7+2
3x<9 / :3
x<3

c)2(3x-7)<10
3x-7<10-2
3x-7<8
3x<8+7
3x<15 / :3
x<5

b)5x+1 <= 26
5x<= 26-1
5x <= 25 / :5
x <= 5

d)6[(2x+1)*3-5]+8 <=356
6[(2x+1)*3-5] <= 356-8
6[(2x+1)*3-5] <= 348
(2x+1)*3-5 <= 348:6
(2x+1)*3-5 <=58
(2x-1)*3 <= 58+5
(2x-1)*3 <= 63
(2x-1) <= 63:3
(2x-1) <=21
2x <=21+1
2x <= 22
x <=22:2
x <= 11


Sper ca ti-a fost de folos . :)

Answer 2

a)3x-2<7    c)2(3x-7)<10      b)5x-1=26     d)6[(2x+1)*3-5]+8=356