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

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• 2.6 Absolute Value

• Goals

SWBAT solve inequalities involving absolute value.

• DefinitionsThe 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.

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• Solving Absolute Value Inequalities1.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 < or >, 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)

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• Solve the open set and graph its solution set.

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• Solve the open set and graph its solution set.

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• Solve the open set and graph its solution set.

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• Solve the open set and graph its solution set.

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• Solve the open set and graph its solution set.

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• Solve the open set and graph its solution set.

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