Graph the solution set of each system if inequalities. X is greater than or = 0 X+Y is less than or equal to 4 2x+y is less than or equal to 5

alesterp

alesterp

Answered question

2021-01-31

Graph the solution set of each system if inequalities.
X is greater than or = 0
X+Y is less than or equal to 4
2x+y is less than or equal to 5

Answer & Explanation

Bella

Bella

Skilled2021-02-01Added 81 answers

For the inequalities we make auxiliary equations.
x=0 ,x+y=4, 2x+y=5
x0
x+y4
2x+y5
x=0
x+y=4
2x+y=5
Make table for the equations and graph:
image
Then shade the regions according to the inequalities.
For x0, shade the right side of x=0
For x+y4, shadetowards (0,0) because x=0, y=0 satisfies the inequality.
For 2x+y5, shade towards (0,0) because x=0, y=0 satisfies the inequality.
So, the common region is the shaded region in black.

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