Chapter 1: Q53. (page 31)

Which of the graphs below represents the solution set for $| x - 3 | - 4 = 0$ .

Short Answer

Expert verified

The correct solution is

Step by step solution

Step 1- Apply the concept of absolute value.

Absolute value describes the distance from zero that a number is on the number line,without considering direction. The absolute value of a number is never negative.

Step 2- Simplify the expression.

Consider the expression $| x - 3 | - 4 = 0$ .

Add 4 on both sides of the equation as follows:

$\begin{array}{l} | x - 3 | - 4 = 0 \\ | x - 3 | - 4 + 4 = 4 \\ | x - 3 | = 4 \end{array}$

Step 3- Step description.

Apply the absolute rule as follows:

Case 1. When $x - 3 = 4$ .

$\begin{array}{l} x - 3 = 4 \\ x = 4 + 3 \\ x = 7 \end{array}$

Case 2. When $x - 3 = - 4$

$\begin{array}{l} x - 3 = - 4 \\ x = - 4 + 3 \\ x = - 1 \end{array}$

Therefore, the value is $x = - 1, 7$ .

Step 4- Step description.

The correct solution is option (B).

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Which of the graphs below represents the solution set for $| x - 3 | - 4 = 0$ .

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Simplify the expression.

Step 3- Step description.

Step 4- Step description.

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Which of the graphs below represents the solution set for |x-3|-4=0.

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Simplify the expression.

Step 3- Step description.

Step 4- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Logic and Functions

Statistics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Which of the graphs below represents the solution set for $| x - 3 | - 4 = 0$ .