Answer:
The graph in the attached figure
Step-by-step explanation:
The complete question is
Which graph best represents the solution to the following system?
5x - 2y < (less than or equal to) 10
x + y < 5
we have
----> inequality A
isolate the variable y
Adds 2y both sides
Subtract 10 both sides
Divide by 2 both sides
Rewrite
The solution of the inequality A is the shaded area above the solid line
The equation of the solid line is
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (2,0)
-----> inequality B
Isolate the variable y
Subtract x both sides
The solution of the inequality B is the shaded area below the dashed line
The equation of the dashed line is
The slope of the dashed line is negative
The y-intercept of the dashed line is (0,5)
The x-intercept of the dashed line is (5,0)
using a graphing tool
The solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
