Question

3(4x-1) + 6x < ( sau egal) 9 - 5(2x-1)
4(2x-3) - 5x > (sau egal) 3(2x+7)-9
11-2(6-x) < 2x+3(x+2)
3(3x-1) - 2(2x+1) < 3(2x-1) - 2(3x+1)
5(2-x) + 4(3x-2) > (sau egal) 2(5-x) - 7(2x-3) - 29

DAU COROANA
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Answer 1

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Answer 2

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≤$\frac{17}{28}$

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

$- \frac{24}{3}$≥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

$- \frac{7}{3} < x \\ \\ x > - \frac{7}{3}$

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