When the value represented by the circle is part of the solution set.
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When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
A circle; a line; or a shape composed of connected lines that do not make a single closed path. Sometimes people say a circle is in fact a polygon with an infinite number of sides. But a closed shape with an infinite number of sides would have to be made of sides with a length of zero; such "sides" are points and not lines. A circle does not therefore meet the definition of a polygon.
no.
I have never heard anyone call it 'graph paper' and since it doesn't already have a graph on it, the proper term would be 'graphing paper.'
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.