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Chapter 2: Q55. (page 117)

Solve each equation. (Lesson 2-5)

x+5=鈭�8

Short Answer

Expert verified

The equation does not have a valid solution or the solution is the null set.

Step by step solution

01

Step 1. Use the definition of the absolute value function.

The absolute value or modulus of a real number xdenoted |x| is the non-negative value of x without regard to its sign.

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction.

02

Step 2. Identify the expression having commutative property.

We are given the expressions: x+5=鈭�8

Since an absolute function value can never be negative we have -8 on the right hand side which is not possible.

Therefore this expression does not have a valid solution.

Hence, the solution set will be an empty set for the given expression.

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Most popular questions from this chapter

Solve each equation. Check your solution.

y5鈭�6=8

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Translate the following statement in if-then form:

鈥�4q+6>42 when q>9.
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