Respuesta :
Answer:
(1,2) and (2,2)
Step-by-step explanation:
we have
[tex]y<5x+2[/tex] ----> inequality A
The solution of the inequality A is the shaded area  below the dashed line [tex]y=5x+2[/tex]
[tex]y\geq \frac{1}{2}x+1[/tex] ----> inequality B
The solution of the inequality B is the shaded area above the solid line [tex]y= \frac{1}{2}x+1[/tex]
The solution of the system of inequalities is the shaded area below the dashed line A and above the solid line B
Remember that
If a ordered pair make both inequalities true, then the ordered pair is a solution of the system of inequalities
If a ordered pair is a solution of the system of inequalities, then the ordered pair lie in the shaded area of the solution set of the system
using a graphing tool
Plot the points and verify f the ordered pairs lies in the shaded area of the solution set
The solutions are the points (1,2) and (2,2)
see the attached figure to better understand the problem
Note The point (0,2) is not a solution because line A is a dashed line

Answer:
C. (1,2)
E. (2,2)
Step-by-step explanation:
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