Because the inequality 3x+k < 5-2x of x has no positive integer solution.

So (1-k/5)= 1

2 binary linear inequality {2x-8≥0 x-4/5≤0,}

So X>= 4x<； =4

So X=4.

X=4 solution of Equation 3 (2X-5)-a-4=ax

A= 1 original formula = 14/3

The solution of inequality (1-2x)/6 < 1/2 is x >；; - 1

(4/3) x+4 < 2x-(2/3) a solution x >；; 6+a

The known solutions of inequality (4/3) x+4 < 2x-(2/3) a (x is unknown) are all solutions of inequality (1-2x)/6 < 1/2.

So 6+A > -1, so a & gt-7.