How do you graph inequalities on a timeline?
To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
How do you graph an inequality on a graph?
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≤).
What does an inequality look like on a line graph?
A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions. One part of the region consists of all solutions to inequality. The borderline is drawn with a dashed line representing ‘>’ and ‘<‘ and a solid line representing ‘≥’ and ‘≤’.
How to graph a linear inequality step by step?
This gives us a convenient method for graphing linear inequalities. To graph a linear inequality 1. Replace the inequality symbol with an equal sign and graph the resulting line. 2. Check one point that is obviously in a particular half-plane of that line to see if it is in the solution set of the inequality.
How is the number line used to solve inequalities?
Using the Number Line to Solve Inequalities. We can use the number line to solve inequalities containing <, ≤, >, and ≥. To solve an inequality using the number line, change the inequality sign to an equal sign, and solve the equation. Then graph the point on the number line (graph it as an open circle if the original inequality was “<” or “>”).
When to use dotted line or solid line in graphing inequalities?
If the inequality symbol is greater than or less than, then you will use a dotted boundary line. This means that the solutions are NOT included on the boundary line. If the inequality symbol is greater than or equal to or less than or equal to, then you will use a solid line to indicate that the solutions are included on the boundary line.
Is the inequality x≤2 on the dark line true?
The following graph represents the inequality x≤2. The dark line represents all the numbers that satisfy x≤2. If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2. Note that the open circle on 2 shows that 2 is not a solution to x < 2.