Ejercicios

Resolver las desigualdades y expresar la solucion como intervalo.

1. 3-2/3x≤1
   -2/3x≤1-3
   -1(2/3x)≤(-2)-1
   2/3x≥2
   2x≥2(3)
   x≥6/2
   x≥3
   
   [3,∞)
   
   
2. 2x-1≤2x+4
   2x-2x-1≤4
   -1≤4
   
   (-1,4]
   
   
3. 1/3x+1/2<2/3-5/2x
   1/3x+5/2x<2/3-1/2
   17/6x<1/6
   17x<1
   x<1/17
   
   (-∞,1/17)
   
   
4. x/2<-5x+2/3
   1/2x+5x<2/3
   11/2x<2/3
   11x<(2/3)2
   x<(4/3)/11
   x<4/33
   
   (-∞,4/33)
   
   
5. 3>6-3/5x≥1
   -6+3>-3/5x≥1-6
   -3>-3/5x≥-5
   5(-3)>-3x≥(-5)5
   (-15>-3x≥-25)-1
   15<3x≤25
   15/3< x≤25/3
   5
   (5,25/3]