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High School Mathematics - 2
7.6 Solutions of System of Linear Inequations in Two Variables

Example: Solve the following linear inequalities graphically.
x+y >= 5
x-y <= 3
Solution: The graph of the equation x+y = 5 is shown in the graph below.

The solution of the inequality x+y <= 5 is the shaded region above the line x+y = 5 including the points on the line.
On the same set of axes we draw the graph of the equation x-y = 3.
The solution of the inequality x-y <= 3 is the shaded region above the line x-y = 3 including the points of the line.


Directions: Draw the graph of the following inequalities.
Q 1: Solve the following system of linear inequations graphically. 2x+3y <= 100, x>=0, y>=0
Answer:

Q 2: Solve the following system of inequations graphically. y <= 4, x >= 1.
Answer:

Q 3: Solve the following system of linear inequations graphically. y <= 4, x >= 1
Answer:

Q 4: Solve the following system of inequations graphically. 2x-y > 1, x-2y <-1
Answer:

Q 5: Solve the folowing system of linear inequations graphically. x+2y >= 20, 3x+y < = 15
Answer:

Q 6: Solve the following system of inequations graphically. x+y > 6, 2x-y > 0
Answer:

Q 7: Solve the following system of linear inequations graphically. 2x+y-3 >= 0, x-2y+1 <= 0, y<3
Answer:

Q 8: Solve the following system of inequations graphically. 3x+y <= 60, x+3y <= 30, x > = 0, y >= 0.
Answer:

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Question 10: This question is available to subscribers only!


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