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in Linear Inequations by (25.0k points)
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Find the linear inequations for which the shaded area in Fig. is the solution set. Draw the diagram of the solution set of the linear inequations.

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In this question,

We will 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)

If a line is in the form ax+by = c and c is positive constant (in case of negative c the rule becomes opposite), so there will be two cases to discuss, which are,

If a line is above 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 origin then the rule becomes opposite.

According to the rules the answer will be,

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