Answer: Choice A
Dashed line; shade below
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The inequality sign completely dictates the answer. It does not matter what is on the right side of the inequality line. This is assuming that y is on the left side.
There is no "or equal to" as part of the inequality sign. So we will not include the boundary as part of the solution set. The dashed line tells the reader "don't include the boundary". In other words, if a point is on the boundary, then it doesn't count as a solution point.
The "less than" sign means we shade below the boundary line. Saying something like y < x means that whatever x is, y will be smaller. Saying y = x means they are the same and (x,y) is the point on the line. So a point like (x,A) is in the solution set if and only if A < x. So this explains why you shade below the boundary. Using test points may help as well.
