Answer:
see below
Explanation:
The equation of the boundary line of the solution space can be found by replacing the inequality symbol with an equal sign. Doing that gives you the equations ...
Each is in "slope-intercept form", y = mx+b, where m is the slope and b is the y-intercept.
It often works well to start by plotting the y-intercept on the y-axis. Then the slope tells you the number of grid squares of "rise" for each grid square of "run". For a slope that is the fraction, you can interpret the fraction to be "rise squares" divided by "run squares."
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The first line will cross the y-axis at y=3, and will rise by 4 squares for each 3 squares to the right. That means the point (3, 7) is also on the line. Because the inequality symbol is >, not ≥, it does not include the "or equal to" case. That means points on the line are not part of the solution. To indicate this fact, we make the line a dashed line.
The equation is written y > (something), so values of y that are greater than those on the line are in the solution set. The graph is shaded above the dashed line.
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The second line will cross the y-axis at y=-3, and will fall by 2 squares for each 3 to the right. That means point (3, -5) is also on the line. Again the inequality symbol is y > (something), so the dashed line will have shading above it.
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The graph shows the first solution space in red and the second one in blue. Where they overlap is the solution space of the system of inequalities (in the top quadrant of the X the lines make). (None of the marked points on the graph are in the solution space. They are all on the boundaries.)