Question 1095451
<font color="black" face="times" size="3">Part A


The system of inequalities is 


{{{system(y >= x-3, y < expr(-2/3)x+3)}}}


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The first inequality {{{y >= x-3}}} is drawn from the fact that the border line {{{y = x-3}}} has shading above this boundary line. This is the solid line shown.


In contrast, the inequality {{{y < expr(-2/3)x+3}}} has the boundary line {{{y = expr(-2/3)x+3}}} shown by the dashed line. The shading is below this line.


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To find the equation of any line given two points, you follow this basic template: 


Step 1) Find the slope using the two points. Use the slope formula.
Step 2) Find the y intercept using either y-y1 = m(x-x1) or y = mx+b


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Part B


The point (0,0) is a solution to this system since it is in the shaded region. Do not forget to surround the ordered pairs values with parenthesis. 


Note: Any point that is on the solid boundary line is a solution


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Part C


One point that is not in the shaded region is the point (0,4). So this is one non-solution.


Note: Any points that are on the dashed boundary line (that aren't on the solid line) are non-solutions as well.


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