How do you determine whether the boundary line is solid or broken when graphing inequalities in two variables?
The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. It is drawn as a dashed line if the points on the line do not satisfy the inequality, as in the cases of < and >.
How do you know when to use a solid or open circle when graphing inequalities?
When graphing a linear inequality on a number line, use an open circle for “less than” or “greater than”, and a closed circle for “less than or equal to” or “greater than or equal to”.
How do you determine if the boundary line of a linear inequality should be solid or dashed when graphed on a coordinate plane?
How to Graph a Linear Inequality
- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).
How do you know if a boundary line is solid or dashed?
If the problem includes where it is equal, then you will have a solid boundary line. In other words, if you have < or > , you will have a solid line for your boundary line. If the problem does not include where it is equal, then you will use a dashed boundary line.
How did you know if the boundary line is dash or broken?
If points along the boundary line are included in the solution set, then a solid line is used; if points along the boundary line are not included then a dotted line is used. divides the plane into two half planes. In this case, it is shown as a dashed line, as the points on the line don’t satisfy the inequality.
How do you know if the circle is shaded or open?
A closed, or shaded, circle is used to represent the inequalities greater than or equal to ( ) or less than or equal to ( ). The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.
How can I tell if an inequality will have a solid line Quizizz?
How can I tell if an inequality will have a solid line? It has an equal sign.
What does a dashed boundary line indicate?
If the boundary line is dashed then the inequality does not include that line. That means the equation can only be using either of the first two symbols. On the other hand, a continuous line with no breaks means the inequality does include the boundary line.
How do you know when to shade above or below?
Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.