If the inequality includes 'or equal' then use a solid dot [the value is included]. If it doesn't use 'or equal' then use the open dot.
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
Vertex
If it is <= or >=
The graph of an inequality is a region, not a line.
If the points that are ON the line satisfy the inequality then the line should be solid. Otherwise it should be dotted. Another way of putting that is, if the inequality is given in terms of ≤ or ≥, then use a solid line. If they are < or > use a dotted line.
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
FALSE
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
Vertex
If the graph is a two-dimensional plane and you are graphing an inequality, the "greater than or equal to" part will be shown by two things: (1) a solid, not a dotted, line--this part signifies the "or equal to" option--and (2) which region you shade. Shade the region that contains the points that make the inequality true. By shading that region, you are demonstrating the "greater than" part.
A graph going down from GAS to SOLID best represents a change in phase from a gas to a solid.
Perpendicular lines
If it is <= or >=
First, write the equation of the line of the graph. Next, if the line is solid, it means equal to. If it is dotted: not equal to. Lastly, the shaded portion of a graph is where the points satisfy the equation. So pick a point in the shaded region, plug it in, and put the appropriate larger than, or less than sign to make the statement true. EX: plug in (3,1) to y _ 3x+1 1 _ 10, then 1 < 10 So, y < 3x + 1 (add [or equal to] if the line is solid)