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Which graph shows the solution to the system of linear inequalities?

x+5y>5
Y<2x+4
PLEASE HELP!!!

Which graph shows the solution to the system of linear inequalities? x+5y>5 Y&lt-example-1
User Kevin Ross
by
4.1k points

2 Answers

4 votes

Answer:

x+5y >5 => red

y< 2x+4 => blue

Explanation:

you can substitute x and y in each inequality to determine

User Jadik
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4.7k points
5 votes

The solution to the system of inequalities is the overlapping shaded region between these two regions.

To graph the system of linear inequalities,

First graph the boundary lines for each inequality:

For the inequality
x+5y > 5 graph the line
x+5y=5.

For the inequality
y < 2x+4, graph the line
y=2x+4.

The region above the line
x+5y=5 is shaded for
x+5y > 5.

The region below the line
y=2x+4 is shaded for
y < 2x+4.

Therefore, The solution to the system of inequalities is the overlapping shaded region between these two regions.

User Luke Yeager
by
4.8k points