Solve Compound Inequalities Math

The solution to an and compound inequality are all the solutions.

Solve compound inequalities math. In other words both statements must be true at the same time. Remember to apply the properties of inequalities when you are solving compound inequalities. We solve compound inequalities using the same techniques we used to solve linear inequalities. A compound inequality contains at least two inequalities that are separated by either and or or.

Compound inequalities joined by or are also called the union of two inequalities. The first case involves solving two linear inequalities joined by the word and. Sometimes it helps to draw the graph first before writing the solution using interval notation. The solution of a compound inequality that consists of two inequalities joined with the word and is the intersection of the solutions of each inequality.

3 6x 9 6 6 6x 3. Solving compound inequalities when solving compound inequalities we are going to deal with two general cases or types. In today s post we will focus on compound inequalities. To solve compound inequalities joined by the word and apply the rules for inequalities to all sides of the compound inequality.

The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. It is presented in a number line. To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement. Solve the compound inequality and express using interval notation 1 2x 5 3.

We solve each inequality separately and then consider the two solutions. If you multiple or divide the compound inequality by a negative number you will need to flip all the inequality signs. The solution is also written using interval notation. The two inequalities would be joined by the word and or or.

Compound inequalities is a method to find the variable value for the given compound inequalities. To solve compound inequalities joined by the word or solve each inequality separately. High school math solutions inequalities calculator compound inequalities in the previous post we talked about solving linear inequalities. X 1.

When the arrow points away from each other in the number line then the inequalities are joined by and if arrow points on same direction inequalities are joined by or. A number is a solution to the compound inequality if the number is a solution to both inequalities. The solution of an and compound inequality is the set of all values of x solving compound inequalities read more. Solve a compound inequality involving and intersection this video provides an example of how to solve a compound inequality involving and or the intersection of two inequalities.

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