These are the options for the question : The solution set of the inequality 3x + 5y < 4 is
(a) an open half-plane not containing the origin.
(b) an open half-plane containing the origin.
(c) the whole XY-plane not containing the line 3x + 5y = 4.
(d) a closed half plane containing the origin.
The correct answer is -(b) The strict inequality represents an open half plane and it
contains the origin as (0, 0) satisfies it.