2.6 Absolute Value. Goals  SWBAT solve inequalities involving absolute value.

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Presentation transcript:

2.6 Absolute Value

Goals  SWBAT solve inequalities involving absolute value.

Definitions  The of a, denoted, is the distance that a is from zero on a number line.  The absolute value of a number is always.  So, in other words, and. That said, we must consider both the negative and positive versions of a when solving absolute value equations and inequalities. absolutevalue positive

Solve. 1.

Solve 2.

Solving Absolute Value Inequalities  1.Get the absolute value by itself, making sure to remember that if you or by a negative you flip the sign!  2.Set up two equality problems, one for the positive, one for the negative, and solve.  3.Plot your solution(s) on a number line. Use an dot for, and a dot for or  4.Test the intervals on your number line to determine where to shade. (shade where it makes the statement true)  5. Write a compound inequality for your solution. (an and or an or) multiply divide openclosed

Solve the open set and graph its solution set. 3.

Solve the open set and graph its solution set. 4.

Solve the open set and graph its solution set. 5.

Solve the open set and graph its solution set. 6.

Solve the open set and graph its solution set. 7.

Solve the open set and graph its solution set. 8.