Question

X-9 2(3x-1)
---- - ------------ ≥ 0
4 3

3x-1 2x+1 x+1
------ - ------ ≤ ------
2 5 10

Answer 1

X-9 2(3x-1)
---- - ------------ ≥ 0 |*12
4 3
3(x-9)-8(3x-1)≥0
3x-27-24x+8≥0
-21x≥27-8
-21x≥19 |:(-21)
x≤-19/21


3x-1 2x+1 x+1
------ - ------ ≤ ------ |*10
2 5 10
5(3x-1)-2(2x+1)≤x+1
15x-5-4x-2≤x+1
11x-x≤1+5+2
10x≤8 |:10
x≤4/5