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I ask:

var("x y")
ineq = [x==y,  y<=0]
solve_ineq(ineq,[x])

and get:

[[x == y, y], [x == y, -y > 0]]

I understand the second set, but not the first. What does it mean when the inequality is just "y"?

I ask:

var("x y")
ineq = [x==y,  y<=0]
solve_ineq(ineq,[x])
s = solve_ineq(ineq,[x]) 
s

and get:

[[x == y, y], [x == y, -y > 0]]

I understand the second set, but not the first. What does it mean when the inequality is just "y"?

A related question: how do I differentiate between inequalities with "==" or ">" and inequalities without?

Currently, when I ask:

print type(s[0][0])
print type(s[0][1])

I get the same result:

<type 'sage.symbolic.expression.Expression'>
<type 'sage.symbolic.expression.Expression'>