A straight line with equation is drawn on a coordinate plane using a dotted line

MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

A straight line with equation 3x+2y=123x + 2y = 12 is drawn on a coordinate plane using a dotted line. The entire half-plane lying below this line is shaded. (i) Write the inequality that represents all shaded points. (ii) Explain, with reference to graphing conventions for inequalities, why the boundary line itself is not included in the solution set.

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