Question

a) 3x+4-5x+67x-8+9x

b) 16-4x-20+7x-325-9x+30-11x-13

c) 4(2x-3)+3(5x-2)8(x+1)-9(x+4)-14

d) 2(x-3)+3(x-4)+4(x-5)+5(x-6)+6(x-7)<0

Answer 1

a) 3x+4-5x+6 ≥ 7x-8+9x

3x - 5x - 7x - 9x ≥ - 8 - 4 - 6

- 9x ≥ - 18

9x ≤ 18

x ≤ 18/9

x ≤ 2

b) 16-4x-20+7x-3 ≤ 25-9x+30-11x-13

- 4x + 7x + 9x + 11x ≤ 25 + 30 - 13 - 16 + 20 + 3

23x ≤ 49

x ≤ 49/23

x ≤ 2 i 3/23

c) 4(2x-3)+3(5x-2) ≤ 8(x+1)-9(x+4)-14

8x - 12 + 15x - 6 ≤ 8x + 8 - 9x - 36 - 14

8x + 15x - 8x + 9x ≤ 8 - 36 - 14 + 12 + 6

24x ≤ 24

x ≤ 24/24

x ≤ 1

d) 2(x-3)+3(x-4)+4(x-5)+5(x-6)+6(x-7)<0

2x - 6 + 3x - 12 + 4x - 20 + 5x - 30 + 6x - 42 < 0

2x + 3x + 4x + 5x + 6x < 6 + 12 + 20 + 30 + 42

20x < 110

x < 110/20

x < 5½