[latex]37 b)\\frac{1}{6}x frac{1}{4} , x leq 4 \\x in(frac{1}{4},4>[/latex]
[latex]c)\\2(frac{1}{3}x-1) geq frac{1}{3}x-2, -6(1-frac{1}{4}x)<4-frac{1}{2}x \\ frac{2}{3}x-2 geq frac{1}{3}x-2 / *3, -6 +frac{6}{4}x <4-frac{1}{2}x / *4\\ 2x-6 geq x-6, -24 +6x <16-2x \\ 2x-x geq -6+6, 6x+2x<16+24[/latex]
[latex]\\x geq0, 8x<40 / :8 \\ x geq 0 , x < 5 \\x in<0,5)[/latex]
[latex]38.a)\\0,6(10-5x)-1,5(-x-6)>0 \\6-3x +1,5 x+9>0 \\-1,5x>15 / :(-1,5)\\x< -10[/latex]
[latex]b)\\0,5(2x-6)-0,4(5x-8) leq 0\\ x-3-2x+3,2 leq 0\\ -x leq 0,2 / *(-1)\\xgeq 0,2[/latex]
[latex]c)\\ frac{1-4x}{6} geq 3-frac{5x-6}{2} / *6 \\1-4xgeq3-(5x-6)\\ -4xgeq3- 5x+6\\ -4x+5xgeq 3 +6 -1 \\xgeq 8[/latex]
[latex]d)\\ frac{2x-6}{2}-1