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Answer:
Part A: The graph of given inequality is shown below.
Part B: The point (4,6) is not a solution of given system of inequalities.
Step-by-step explanation:
Part A:
The given inequalities are
The related equation of given inequalities are
Put x=0, to find the y-intercepts.
Put y=0, to find the x-intercepts.
The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.
Check the given inequality by (0,0).
This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.
This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.
The graph of given inequalities is shown below.
Part B:
We have to check whether (4,6) is a solution of the system of inequality or not.
Check the given inequality for the point (4,6).
This statement is false. It means (4,6) is not the solution of given system of inequalities.
