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How do you graph inequalities on a graph?

How to Graph a Linear Inequality

  1. Rearrange the equation so “y” is on the left and everything else on the right.
  2. Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
  3. Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

What is the boundary line of the inequality?

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 >.

Can you graph inequalities?

When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality. The boundary line is dashed for > and < and solid for ≥ and ≤.

How do you graph an inequality with 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.

What does between mean in inequalities?

Just “between f(a) and f(b)”, for example, means in majority of cases a non-strict inequality. The usage of “between” instead of the inequality itself is dictated by the uncertainty of which of those two values is smaller.

What are the two types of compound inequalities?

There are two types of compound inequalities. They are conjunction problems and disjunction problems. These compound inequalities will sometimes appear as two simple inequalities separated by using the word AND or OR. When solving “and/or” compound inequalities, begin by solving each inequality individually.

What does and mean in compound inequalities?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

What is an example of a compound inequality?

Compound inequalities are the derived form of inequalities, which are very useful in mathematics whenever dealing with a range of possible values. For example, after solving a particular linear inequality, you get two solutions, x > 3 and x < 12. You can read it as “3 is less than x, which is less than 12.

What is compound inequalities all about?

A compound inequality is an inequality that combines two simple inequalities. This article provides a review of how to graph and solve compound inequalities.

How do you read inequalities on a number line?

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.