Question 188244: Graph the inequality.
3x + y <= 5
List the exact coordinates of where the boundary crosses the x axis and the y axis.
ANSWER: x intercept ( 0,1.6) y intercept (0,5)
2) Provide the best choice for the correct half plane to be shaded
A) Upper left
B) Lower right
C) Upper right
D) Lower left
16.2] ANSWER: A- Upper Left. This is what I came up with, is this correct?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The x-intercept is the point (a,0). So substitute 0 for y in your equation and calculate the value of the x-coordinate.
Your 1.6 is probably close enough for this exercise, but you needed to put it in the correct place in the ordered pair describing the x-intercept, (1.6,0).
Now that you have two points, you can draw the boundary line. Make it a solid line because the inequality included equals, i.e. it is  rather than <.
As to which side to shade, pick a point not on the boundary line. If the line does not pass through the origin, the origin, (0,0) is always a good point to select. Substitute the values of the coordinates of the selected point into your original inequality. If the result is a true statement, then shade in the side of the line that contains the point. If the result is a false statement, shade in the other side.
 + 0 \leq 5)
Is a true statement, so the side of the line containing the point (0,0) is the side that gets the shading. In this case, that would be below and to the left.
John
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