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High School Mathematics - 2
Graphical Representation of Solutions to Inequalities

Example: Solve 3x+2y> 6 graphically.
Solution: The dotted line is the graph of the given inequality.

This dotted line divides the xy plane in two half planes I and II.
We select a point say (0,0) which lies in one of the half planes.
We determine if this point satisfies the give inequality
3(0) + 2(0) > 6 which is false.
The shaded half plane II excluding the points on the line is the solution region of the inequality.

Directions: Draw the graphs.