Desigualdades De Primer Grado

1. 3x+11<5

3x<5-11 ←+++++++++(-2)---------

3x<-6/3 [∞,-2)

X<-2

2.0<5-2x

2x<5-0 ←++++++++∓(5/2)----------

2x<5

x<5/2 [∞,5/2)

3. 5/2 x+1<1/5-2x

4/10 x+10/10<2/10-20/10 x ←+++++++++++(-8/24)------

4x+20x<2-10 [∞,- 8/24)

24x<-8

x<-8/24

4. 2(7x-3)≤12x+16

4x-6≤12x+16

14x-12x≤16-6 ←+++++++++++++[5]----------

2x≤10 [∞,5]

x≤10/2

x≤5

5. 1<3x+4≤16

1-4<3x+4-4≤16-4 (1)++++++++++++++[4]

-3<3x≤12 (-1,4]

-3/3<x≤12/3

-1<x≤4

6. -1/2≤(4-3x )/5≤1/4

-1/20≤(4-3X )/20≤1/20 [11/12]++++++++++++++++[16/12]

-10-16≤-12X≤5-16

-26/12≤X≤11/12

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