# Solving Absolute Value Problems

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What range of weight will be acceptable to the inspector without causing the bakery being fined?

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

While this is not a complete check, it often helps verify the solution.

What happens for absolute value inequalities that have “greater than”?

Let's first quickly review what the term "absolute value" means.

## Solving Absolute Value Problems

The absolute value of a number is its distance from 0 on the number line.

The absolute value of a number is its distance from zero on the number line.

For the equation $$|x|=5$$, we saw that both 5 and $$−5$$ are five units from zero on the number line. $\begin & & \ & & \ \nonumber \end$ What about the inequality $$|x|\leq 5$$?

Where are the numbers whose distance is less than or equal to 5?

We know $$−5$$ and 5 are both five units from zero.

## Comments Solving Absolute Value Problems

• ###### Solving Absolute Value Equations - Weebly
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Solving Absolute Value Equations Date_____ Period____ Solve each equation. 1 p − 1 = 4 2 p − 3 = 3 3 −6 + a = 9 4 −1 + n = 5 5 6 + 5p = 14 6 5 − b = 2 7 9x − 4 = 86 8 3 + 7x = 73…

• ###### Algebra precalculus - How do I solve a double absolute value.
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Answers. With an inequality where there are 2 absolute value equations on either side of the inequality i.e. All you have to do is make both positive, and then a separate inequality where 1 absolute value is negative. Both Positive The 's cancel out, so this equation is no use to us.…

• ###### SparkNotes Absolute Value Problems
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Problems. Problem What is the value of + if = - 2 ? Problem Find the solution set of 3 + 4 = 24 from the replacement set { -12, -4, 0, 4, 12}. Problem Find the solution set of = 3 from the replacement set { -6, -5, -1, 0, 3}. Problem Find the solution set of 4 - 2 = - 12 from the replacement set { -1, 0, 1, 3, 5}. Be Book-Smarter.…

• ###### Absolute Value with Fractions - Math Help
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Absolute Value with Fractions. For FREE access to this lesson, select your course from the categories below. Students learn to solve absolute value problems with fractions. This lesson combines the ideas of absolute value, order of operations, operations with positives and negatives, and operations with integers and fractions.…

• ###### Working with Absolute Value Independent Practice Worksheet
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Name _____ Date _____ Tons of Free Math Worksheets at © with Absolute Value - Independent Practice Worksheet…

• ###### How to Solve Absolute Value Equations With a Number on the.
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Solve an absolute value equation that contains a number outside the absolute value bars by algebraically moving that number to the side of the equation opposite the variable. Eliminate the absolute value by creating two equations from the expression, representing the positive and negative possibilities for the terms within the bars.…

• ###### Solving absolute value problems -
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There are basically 2 types of absolute value problems We'll call the first one a "lesser-than" problem and the second one a "greater-than" problem. In both types of problems, there are 2 inequalities you have to solve, giving you 2 solution sets for x. The bottom line is the final solution set for x has to contain both solution sets for x.…

• ###### Negation and Absolute Value - dummies
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Absolute value is the number’s distance from 0 on the number line — that is, it’s the positive value of a number, regardless of whether you started out with a negative or positive number The absolute value of a positive number is the same number. The absolute value of a negative number makes it a positive number.…

• ###### Solving Absolute Value Equations - Kuta Software LLC
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Solving Absolute Value Equations Date_____ Period____ Solve each equation. 1 3 x = 9 2 −3r = 9 3 b 5 = 1 4 −6m = 30 5 n 3 = 2 6 −4 + 5x = 16 7 −2r − 1 = 11 8 1 − 5a = 29 9 −2n + 6 = 6 10 v + 8 − 5 = 2-1-…

• ###### How to Solve Absolute Value Equations? - Calcworkshop
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How to Solve Absolute Value Equations? with 13 Terrific Examples! Get the Absolute Value by itself using our SCAM technique. If the Absolute Value equals a positive number, then find the distance from both the left and right side by using SCAM again to obtain two solutions. If the Absolute Value.…