Chapter 2: Q55. (page 117)

Solve each equation. (Lesson 2-5)
$|x + 5| = - 8$

Short Answer

Expert verified

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

Step by step solution

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.

Step 2. Identify the expression having commutative property.

We are given the expressions: $|x + 5| = - 8$

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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Solve each equation. (Lesson 2-5)
$|x + 5| = - 8$

Short Answer

Step by step solution

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

Step 2. Identify the expression having commutative property.

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Solve each equation. (Lesson 2-5)x+5=−8

Short Answer

Step by step solution

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

Step 2. Identify the expression having commutative property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve each equation. (Lesson 2-5)
$|x + 5| = - 8$