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+67x-8+9x

3x-5x-7x-9x ≥ -8-4

-18x≥ ≥ -12/:(-18)

x≤12/18

x≤⅔

x∈(-∞,⅔ >

 

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

-4x+7x+9x+11x ≤ 25+30-13-16+20

23x ≤ 46/:23

x ≤ 2

x∈(-∞,2>

 

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+6+12

24x ≤ -24/:24

x≤-1

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<5,5

x∈(-∞,5,5)