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First let's graph 3x + 2y = –5 3x + 2y = –5 2y = –5 - 3x 2y = -3x –5 y = -3/2x –5/2 So this is a line that starts at (0, -5/2) and goes down 3 and over 2 to get the next point.
The line is a dashed line The slope is negative. So that rules out choices C and D
Let's see if the origin is in the solution set 3x + 2y > –5 3(0) + 2(0) > –5 0 + 0 > -5 0 > -5 which is true So (0,0) is in the shaded region So this means we shade above the dashed line
B?
good catch, it is B
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