Tarea 2 (desigualdades)

a) 3-2/3x ≤1

(-2/3x ≤1-3) (-1)
2/3x≥2
x≥ 2/1 / 2/3
x ≥ 6/2
x ≥ 3

c.s. [3,∞)



b) 2x-1 ≤ 2x+4

2x-2x≤4+1
0≤5

c.s (0,5]




c) 1/3x+1/2 < 2/3-5/2x

1/3x+5/2x < 2/3-1/2
17/6x < 1/6
x< 1/17

c.s. (-∞, 1/17)




d) x/2< -5x+2/3

(x/2<-5x+2/3) (6)
3x+30x<4
33x<4
x<4/33

c.s. (-∞, 4/33)




e) 3 > 6-3/5x ≥ 1

3-6 > -3/5x ≥ 1-6
(-3 >-3/5x ≥-5) (-1)
3< 3/5x ≤ 5
3/1 / 3/5 < x ≤ 5/1 / 3/5
15/3 < x ≤ 25/3
5< x ≤ 25/3

c.s. (5, 25/3 ]