SOLUTION: We have graphed a boundary line for the linear inequality. Determine the correct half-plane and complete the graph. y>3. Would the inequality then become y=3? I have the graph wit

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Question 117451: We have graphed a boundary line for the linear inequality. Determine the correct half-plane and complete the graph.
y>3. Would the inequality then become y=3? I have the graph with the shaded area completed, but would the boundary line remain slashed or should it be a solid line?
Thank You, Barb Neely

Found 2 solutions by Fombitz, jim_thompson5910:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
The boundary line defines the region where .
If the inequality is , then the line is also included and made solid.
If the inequality is , like you mentioned, then the line is not included, only shows the boundary and should be dashed or dotted (non-solid).

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since the expression is , we are talking about every y value that is greater than 3 (but we're not including y=3). So this means we're excluding the value y=3. So in this case, the boundary is a dashed line since we're excluding y=3.
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