Chapter 1: Q40. (page 31)

Solve the equation. Check the solutions.
$| 5 x + 9 | + 6 = 1$

Short Answer

Expert verified

No solution for $x \in ℝ$ .

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 $| 5 x + 9 | + 6 = 1$ .

Subtract 6 from both sides of the equation as follows:

$\begin{array}{l} | 5 x + 9 | + 6 = 1 \\ | 5 x + 9 | + 6 - 6 = 1 - 6 \\ | 5 x + 9 | = - 5 \end{array}$

Step 3- Step description.

There is no value of x that makes the equation true because an absolute value can never be negative.

Therefore, no solution for $x \in ℝ$

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Solve the equation. Check the solutions.
$| 5 x + 9 | + 6 = 1$

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Simplify the expression.

Step 3- Step description.

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Solve the equation. Check the solutions.|5x+9|+6=1

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Simplify the expression.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Geometry

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check the solutions.
$| 5 x + 9 | + 6 = 1$