Question

Sorki ze tak napazgrane ale nie umiem sie bawic w painta :) Daje naj !!!

Answer 1

a)

2(x+2)-2 < 4(x-1)+5

2x+4-2 < 4x-1+5

2x-4x < -1+5-4

-2x < 0  /:(-2)

x > 0

 

b)

2(x+3)-5x > 3-2(x+5)

2x+6-5x > 3-2x-10

2x-5x+2x > 3-10-6

-x > -13  /:(-1)

x < 13

 

c)

x-3-3(x-10) ≤ x+6

x-3-3x+30 ≤ x+6

x-3x-x ≤ 6+3-30

-3x ≤ -21  /:(-3)

x ≥ 7

 

d)

3(x+5)-(x-1) ≥ 14

3x+15-x+1 ≥ 14

3x-x ≥ 14-15-1

2x ≥ -2  /:2

x ≥ -1

 

e)

12x-(2x+1) < 9(2-x)

12x-2x-1 < 18-9x

12x-2x+9x < 18+1

19x < 19  /:19

x < 1

 

f)

2(4-x) ≤ 5(x-1)-1

8-2x ≤ 5x-5-1

-2x-5x ≤ -5-1-8

-7x ≤ -14  /:(-7)

x ≥ 2

Answer 2

a)

2(x+2)-2 < 4(x-1)+5

2x+4-2 < 4x-1+5

2x-4x < -1+5-4

-2x < 0  /:(-2)

x > 0

 

b)

2(x+3)-5x > 3-2(x+5)

2x+6-5x > 3-2x-10

2x-5x+2x > 3-10-6

-x > -13  /:(-1)

x < 13

 

c)

x-3-3(x-10) ≤ x+6

x-3-3x+30 ≤ x+6

x-3x-x ≤ 6+3-30

-3x ≤ -21  /:(-3)

x ≥ 7

 

d)

3(x+5)-(x-1) ≥ 14

3x+15-x+1 ≥ 14

3x-x ≥ 14-15-1

2x ≥ -2  /:2

x ≥ -1

 

e)

12x-(2x+1) < 9(2-x)

12x-2x-1 < 18-9x

12x-2x+9x < 18+1

19x < 19  /:19

x < 1

 

f)

2(4-x) ≤ 5(x-1)-1

8-2x ≤ 5x-5-1

-2x-5x ≤ -5-1-8

-7x ≤ -14  /:(-7)

x ≥ 2