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.
A dashed/dotted line if it is > or <. Otherwise use a regular line. Also shading is required.
An equation has an equal sign, which means that we know what the variable is equal to :)
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
If it is a straight line, then the equation is linear.
yes
A dotted line in a graph of an inequality indicates that the boundary line is not included in the solution set. This typically occurs with inequalities using "<" or ">", meaning that points on the dotted line do not satisfy the inequality. In contrast, a solid line would indicate that points on the line are included in the solution set, as seen with "<=" or ">=".
A dashed/dotted line if it is > or <. Otherwise use a regular line. Also shading is required.
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
The graph of an inequality is a region, not a line.
-2
strict inequality
An equation has an equal sign, which means that we know what the variable is equal to :)
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
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.
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)
y -x - 2 is not an equation (nor an inequality) and so there is no way to graph it.
The graph will be a line.