Question

1/3<-x-5/6>2/3x+4 respuesta

Answer 1

1/3 < - x - 5/6 > 2/3x + 4

1/3x< - x - 5/6x

-x - 5/6x> 2/3x + 4

x/3< -x - 5/2x (3)

-x - 5/2x (3) > 2x/3 + 4

x/3< - x - 5/2x (3) 

-x - 5/2x (3) > (2x) + 3 (4)/3

x/3 < - (2 * 3) x + (-5x)/ (2 * 3)

- (2 * 3) x + (-5x)/ (2 * 3) > 2x + 12/3

x/3 < -6x - 5x/ 2 * 3

-6x - 5x / 2 * 3 > 2x + 12/3

x/3 < - 11x/ 2 *3

-11x/ 2 * 3 > 2x + 12/3

13x < 0

-11x > 2 (2x) + 2 (12)

13x/13 < 0

-11x > 4x + 24

-11x - 4x > 24

x < 0

-15x > 24

x < 0

15x/15 < - 24/15

x < 0

x < - 2³ * 3/3 * 5

x < 0

x < - 2³ /5

x < - 8/5

Respuesta : 

x = (-∞,-8/5)