Graph the solution set of the system of inqualities x-2y<3 2x+y>3

Tabansi

Tabansi

Answered question

2020-12-24

Graph the solution set of the system of inqualities
x-2y<3
2x+y>3

Answer & Explanation

krolaniaN

krolaniaN

Skilled2020-12-25Added 86 answers

On solving the above inequalities for y, we get
2x+4y6
2x+y>3
0+5y3
y35
y0.6
On solving the above inequalities for x, we get
x2y<3
2xy<3
x3y<0
x3y
x3(0.6)[y0.6]
x>1.8
The solution set of the given inequalities is
={(x,y)X>1.8,y0.6}
The graph of the given inequalities is below:
image

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