Compound Inequalities Amazing Mathematics

A compound inequality is a single statement used to represent two inequalities at once such as a x b.

Compound inequalities amazing mathematics. There are two types of compound inequalities. This can also be written as the following and is represented by the number line below. It is the overlap or intersection of the solutions for each inequality. B 3 is an open circle at 3 with a line going to the right.

There are 12 problems each with 4 cards for a total of 48 cards to cut out and. We now turn our attention to the business of solving compound inequalities. When two inequalities are joined by the word and the solution of the compound inequality occurs when both inequalities are true at the same time. B 6 is an open circle at 6 with a line going to the left.

B 6 or b 3. X 6 and x. Whether or not those numbers are actually included in the interval is decided by the attached inequality sign. For example x 5 and x 7 and x 1 or x 7 are examples of compound inequalities when the word that connects both inequalities is and the solution is any number that makes both inequalities true.

It describes a range or interval of numbers whose lower boundary is a and whose upper boundary is b. In this section we build on those fundamentals and turn our attention to more intricate examples. Other compound inequalities are joined by the word or. For example you get two solutions after solving a particular linear inequality x 3 and x 12.

This set of matching cards requires students to write a one step inequality from a word problem solve the inequality and graph their answer on a number line. One step inequalities on a number line matching cards. Compound inequalities joined by the word and and compound inequalities joined by the word or example 6 x 2. A compound inequality is a statement in which two inequalities are connected by the word and or the word or.

A compound inequality consists of two or more inequalities. In the previous section we studied the subtleties of and and or intersection and union and looked at some simple compound inequalities. Compound inequalities are similar to compound statements as they are two simple inequalities joined by conjunctions. A sentence would be written combining the statements x is greater than 2 and x is less than 9.