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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.

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High School Mathematics - 2
7.8 Graphical Representation of Solutions to Inequalities

Q 1: Solve x+y<5 graphically.
Answer:

Q 2: Solve 3x-6>=0 graphically.
Answer:

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

Q 4: Solve y+8>=2x graphically.
Answer:

Q 5: Solve 3x-6>=0 graphically.
Answer:

Q 6: Solve 2x+y >=6 graphically.
Answer:

Q 7: Solve 3x+y <= 12 graphically.
Answer:

Q 8: Solve x-y<=2 graphically.
Answer:

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Question 10: This question is available to subscribers only!


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