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High School Mathematics - 2
7.8 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.
Q 1: Solve 2x+y >=6 graphically.

Q 2: Solve y+8>=2x graphically.

Q 3: Solve 3x-6>=0 graphically.

Q 4: Solve 3x-6>=0 graphically.

Q 5: Solve x-y<=2 graphically.

Q 6: Solve y<2 graphically.

Q 7: Solve x+y<5 graphically.

Q 8: Solve 3x-6>=0 graphically.

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Question 10: This question is available to subscribers only!

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