Chapter 2: Q14. (page 145)

Solve each equation. Then graph the solution set.
$| 2 b + 5 | = 9$

Short Answer

Expert verified

The solution set of the equation is ${2, - 7} .$

The graph of the solution set is:

Step by step solution

Step 1. Given information.

We have an equation $| 2 b + 5 | = 9$ .

To find the value of $b$ and plot the graph of solution.

Step 2. Apply concept.

We apply the concept of modulus function.

As $|x| = \{\begin{matrix} x i f x \leq 0 \\ - x i f x > 0 \end{matrix}$

Step 3. Calculation.

Here will exist two cases for the modulus function:

$\begin{array}{l} C a s e 1 : \\ 2 b + 5 = 9 \\ 2 b = 9 - 5 \\ 2 b = 4 \\ b = \frac{4}{2} \\ b = 2 \\ C a s e 2 : \\ 2 b + 5 = - 9 \\ 2 b = - 9 - 5 \\ 2 b = - 14 \\ b = \frac{- 14}{2} \\ b = - 7 \end{array}$

Hence, the solution set of the given expression is ${2, - 7} .$

The graph of the solution set is:

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Solve each equation. Then graph the solution set.
$| 2 b + 5 | = 9$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

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Solve each equation. Then graph the solution set.|2b+5|=9

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Calculus

Applied Mathematics

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Then graph the solution set.
$| 2 b + 5 | = 9$