How do you graph inequalities on a coordinate plane?
There are three steps:
- 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 graph inequalities?
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
How do you graph an inequality with only one variable?
The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥. Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality.
How do you graph inequalities in two variables?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary.
How do I graph inequalities?
How do you find the compound inequality?
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets (“or”) or an intersection of sets (“and”). Then, solve both inequalities and graph.
How do you shade the graph of an inequality?
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. For a vertical line, larger solutions are to the right and smaller solutions are to the left.
How do you solve compound inequalities graphically?
For example, x > 6 orx < 2. The solution to this compound inequality is all the values of x in which x is eithergreater than 6 orxis less than 2. You can show this graphically by putting the graphs of each inequalitytogether on the same number line.
How do you graph inequalities in math?
How to graph inequalities: Determine a is either positive or negative. If a is positive then your base graph will look like y = ax, else it will look like y = − |a|x b tells you that how much you need to move your base graph on the coordinate plane. If b is positive, move your graph in +y direction, else −y direction.
What is an example of compound inequality in or form?
Solving and Graphing Compound Inequalities in the Form of “or” Let’s take a closer look at a compound inequalitythat uses orto combine two inequalities. For example, x > 6 orx < 2. The solution to this compound inequality is all the values of x in which x is eithergreater than 6 orxis less than 2.
Which parts of the graph are not a solution to orcompound inequality?
In fact, the only parts that are not a solution to this compound inequality are the points 2 and 6 and all the points in between these values on the number line. Everything else on the graph is a solution to this compound inequality. Let’s look at another example of an orcompound inequality, x> 3 orx≤ 4.