Question

să se rezolve inecuațiile:
a) 4(x+3)<3x+7
b) 8(x+2)<5x+4
c) 6(x-3) - 10 ≤ 2(2x+1)
d) 5(2x+3) - 3(x+1) > 4(x-9)
e) 4(2x+1) - 2(-x+22) ≥ 6(x-4)
f) 3(x-1) - 6 < 2(x+7).

Nu ştii, nu răspunde! Urgent!!!​

Answer 1

a) 4x +12 <3x+7

4x - 3x < 7-12

x < -5, x apartine (-infinit, -5)

b) 8x +16 < 5x+4

8x-5x < 4-16

3x < -12

x < -4, x apartine (-infinit, -4)

c) 6x-18 -10 </ 4x+2

6x -4x </ 2+28

2x </ 30

x </ 15, x apartine (-infinit, 15]

d) 10x+15 -3x-3 > 4x-36

7x +12 > 4x-36

7x -4x > -36-12

3x > -48

x > -16, x apartine (-16, infinit)

e) 8x+4 +2x-44 >/ 6x -24

10x -40 >/ 6x -24

10x - 6x >/ -24+40

4x >/ 16

x >/ 4 , x apartine [4,infinit)

f) 3x-3 - 6 < 2x+14

3x -2x < 14 +9

x < 23, x apartine (-inifnit, 23)

Answer 2

Răspuns:

$f)3 x - 3 - 6 < 2x + 14 \\ x < 23 \\ x \: apartine \: ( - \infty . \: 23)$