Answer:
Part A) The graph in the attached figure (see the explanation)
Part B) The ordered pair is not included in the solution area for the system (see the explanation)
Step-by-step explanation:
Part A) we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,-8)
The x-intercept of the dashed line is (2,0)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,5)
The x-intercept of the solid line is (2,0)
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Part B) is the point (5, -8) Included in the solution area for the system?
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Substitute the value of x=5, y=-8 in each inequality and then analyze the results
<em>Inequality A</em>
----> is true
so
the ordered pair satisfy inequality A
<em>Inequality B</em>
---> is not true
so
the ordered pair not satisfy the inequality B
therefore
The ordered pair is not included in the solution area for the system
