Chapter 2: Q24. (page 106)

Solve each equation. Then graph the solution set.
$|v - 2| = - 5$

Short Answer

Expert verified

The equation $|v - 2| = - 5$ has an empty solution set as $ϕ$ .

Step by step solution

Step-1. Define absolute value equation.

For any real numbers a and b, if $|a| = b$ and $b \geq 0$ , then $a = b$ or $a = - b$ .

Step-2. Observe the equation.

In the given equation, $|v - 2| = - 5$ , the distance between v and -2 is negative, that is., -5, which is not possible as distance can never be negative.

Step-3. State the conclusion.

Since, distance is a non-negative quantity, therefore, no value of v would satisfy the equation.

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

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Solve each equation. Then graph the solution set.
$|v - 2| = - 5$

Short Answer

Step by step solution

Step-1. Define absolute value equation.

Step-2. Observe the equation.

Step-3. State the conclusion.

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Solve each equation. Then graph the solution set.v−2=−5

Short Answer

Step by step solution

Step-1. Define absolute value equation.

Step-2. Observe the equation.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Then graph the solution set.
$|v - 2| = - 5$