We shall apply the concept of a common solution area to find the signs of inequality by using their given equations and the given common solution area (shaded part).
As we know that,
If a line is in the form ax + by = c and c is positive constant. (In case of negative c, the rule becomes opposite), therefore there are two cases which are,
If a line is above the origin:
(i) If the shaded area is below the line then ax + by < c
(ii) If the shaded area is above the line then ax + by > c
If a line is below the origin then the rule becomes opposite.
Therefore, according to the rules
