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.
One variable inequality- graph the point on the number line then choose a point on the point, to the left and to the right to see what gets shaded. Two variable inequality- graph the line on grid paper then choose a point on the line, to the left and to the right to see what gets shaded.
A dashed/dotted line if it is > or <. Otherwise use a regular line. Also shading is required.
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 :)
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.
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.
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.
If it is a 'greater than' or a 'less than' then it's a dotted line. If 'less than or equal' or if it's a 'greater than or equal' then it's a solid line.
When it is a linear equation.