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Pedagogical Fourier Motzkin

I want to decompose Fourier-Motzkin algorithm for educational reasons. Suppose I have

z_1=solve(4*x_2<=100,x_2)[0][0]
z_2=solve(-35*x_2<=-3,x_2)[0][0]
z_3=solve(12*x_2 <= 72,x_2)[0][0]
z_4=solve(1-1*x_2 <= 40,x_2)[0][0]
show(z_1,",   ",z_2,",   ",z_3,",   ",z_4)

How coud I select the z_i according to the inequality sign and construct 2 sets.