how to graph, where to shade, and should line be dotted or solid?

Mathematics
Tutor: None Selected Time limit: 1 Day

Find the graphical solution of the inequality.

3y + 1 > 0


(i need the points to graph the inequality/ line)
Jun 5th, 2015

Thank you for the opportunity to help you with your question!

To solve an inequality first set it to 0. Thus 

3y+ 1=0

=>. 3y=-1

=>. y= -1/3

The solution will be the area above or below the straight line whose equation is y=-1/3. The area above the line should be shaded for a > (greater than)sign. And for a < sign the area below should be shaded. In this case we have > sign so area above the line will be shaded.

Now the line itself will be solid if the inequality sign is >= (greater than equal to) or <= (less than or equal to). But if the inequality sign is just > or <, the line will be dotted.in this case it will be a dotted line.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 5th, 2015

can you be more specific in the answer? Which side should be shaded and what are the points to graph the line?

Jun 5th, 2015

The line is the horizontal line passing through the point (0,-1/3) or (0, -0.33).

Then shade the area above this dotted line.

Jun 5th, 2015

The line is the horizontal line passing through the point (0,-1/3) or (0, -0.33).

Then shade the area above this dotted line.

Jun 5th, 2015

Draw the line parallel to the x-axis and crossing the y-axis at -1/3. And shade the entire area above the line. The line itself should be dotted.

I hope this is clear.

Jun 5th, 2015

The line y=-1/3 means that all points on this line have the y coordinate =-1/3 for all x-coordinates. So it is a horizontal line.

Jun 5th, 2015

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