Solve the following system of inequalities graphically : X + 2y < 9 X ≤ 3y Y ≤ 3 (a) Write corner points of the shaded region (b) Is ( 3 , 3 ) solution of the given system of inequalities?
Answers
Answer:
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Answer:
2x +y \geq 4, \ x + y \leq 3, \ 2x - 3y \leq 6
Graphical representation of 2x+y=4 \, \, ,x+y=3 and 2x-3y=6 is given in graph below.
For 2x +y \geq 4, ,
The solution to this inequality is region above the line (2x+y=4) including points on this line because points on line also satisfy the inequality.
For \ x + y \leq 3,,
The solution to this inequality is region below the line (x+y=3) including points on this line because points on line also satisfy the inequality.
For \ 2x - 3y \leq 6,
The solution to this inequality is region above the line (2x-3y= 6) including points on this line because points on line also satisfy the inequality.
Hence, solution to these linear inequalities is shaded region as shown in figure including points on the respective lines.
This can be represented as follows:
Step-by-step explanation:
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