Answer:
D) 3x − 2y < 7
Explanation:
We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.
In "intercept form," the equation of the line can be written ...
x/x-intercept +y/y-intercept = 1
Using the given intercepts, this is ...
x/2.3 +y/(-3.5) = 1
The answer choices suggest that we should multiply this by 7. When we do, we get ...
3x -2y = 7 . . . . the equation of the boundary line
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The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.
As we said, x-values are less than those on the line, so the shaded area is ...
3x -2y < 7 . . . . matches choice D