a)3(4x-1)+6x≤9-5(2x-1)
12x-3+6x≤9-10x+5
18x-3≤9-10x+5
18x-3≤-10x+14
18x≤-10x+14+3
18x≤-10x+17
18x+10x≤17
28x≤17
x≤[tex] \frac{17}{28} [/tex]
b)4(2x-3)-5x≥3(2x+7)-9
8x-12-5x≥6x+21-9
3x-12≥6x+21-9
3x-12≥6x+12
-12≥6x+12-3x
-12≥3x+12
-12-12≥3x
-24≥3x
[tex] - \frac{24}{3} [/tex]≥x
-8≥x
x≤-8
c)11-2(6-x)<2x+3(x+2)
11-12+2x<2x+3x+6
2x-1<2x+3x+6
2x-1<5x+6
-1<5x+6-2x
-1<3x+6
-1-6<3x
-7<3x
[tex] - \frac{7}{3} < x \\ \\ x > - \frac{7}{3} [/tex]
d)3(3x-1)-2(2x+1)<3(2x-1)-2(3x+1)
9x-3-4x-2<6x-3-6x-2
5x-5<6x-3-6x-2
5x-5<-5
5x<0
x<0
e)5(2-x)+4(3x-2)≥2(5-x)-7(2x-3)-29
10-5x+12-8≥10-2x-14x+21-29
2+7x≥10-2x-14x+21-29
2+7x≥2-16x
7x≥-16x
7x+16x≥0
23x≥0
x≥0
