9514 1404 393
Answer:
(C) Area 3
Explanation:
The first inequality has positive slope and a y-intercept of -5. The variable x has a positive coefficient so we can determine the shading from ...
x ... > 5
That is, larger values of x are in the solution set. Shading is to the right of the line with positive slope, in areas 3 and 4.
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The second inequality has negative slope and a y-intercept of -3. Both x and y have positive coefficients, so the shading can be determined from either of ...
... 2y < -6 . . . . . . lower values of y are in the solution set
x ... < -6 . . . . . . . lower values of x are in the solution set
These indicate the shading is below and to the left of the line with negative slope, in areas 2 and 3.
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The area that is in the solution set of both inequalities is Area 3.