Ross D.

asked • 09/26/13

how do I graph a solution set of the linear inequality 2x+y-5>0.

can you show me how to work it?

1 Expert Answer

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Justin L. answered • 09/26/13

Tutor
5 (7)

A Personalized Approach to a Standardized Education

Imtiazur S.

tutor
"graph the line --- if its less than or greater than make it a dotted line,
if ist less than or equal to or greater than or equal to then make it a solid line"
 
I believe this statement is opposite of the convention.  Inequalities of type Less than or Equal to or Greater Than or Equal to should be graphed using a dashed line and a solid line graph for pure Lest Than or Greater Than inequalities
 
 
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09/26/13

Ross D.

so which is correct dashed line or solid line on '>' side ? you have me confused now
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09/26/13

Justin L.

I tried to leave a comment a while ago to clarify, but i dont see that its showing up. In the instance that we had of less than < (same rule for greater than >) It is a dashed, dotted, or broken line.  Remember when we picked a point (0,0) to test? We plugged in the x and y values to see if the inequality was true.  Well, in the less than and greater than instances, a point on the line (x,y) will NOT make the inequality true, thats why it has to be dashed or dotted.  
 
If its greater than or equal to, then it would be a solid line.
 
http://www.regentsprep.org/Regents/math/ALGEBRA/AE85/GrIneqa.htm
 
If you get stuck again feel free to send me a message, I don't want you to get confused by people posting on this forum that may not be knowledgeable on the subject. 
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09/26/13

Imtiazur S.

tutor
I am the source of the confusion and let me clear the confusion by saying I was wrong.  I stand corrected.  If it is pure Less than or Greater Than it should be a dotted line indicating that the points on the line do not belong in the set.  I wish I could take back my earlier comment.
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09/27/13

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