Chapter 1: Q1A. (page 31)

Determine the solution set for the following equation if the replacement set is ${0, 1, 2, 3}$ :
role="math" localid="1643262518315" $8 m - 7 = 17$

Short Answer

Expert verified

The solution set of the equation $8 m - 7 = 17$ is ${3}$ .

Step by step solution

Step 1. Given information.

The equation is $8 m - 7 = 17$ and the replacement set is $\{0, 1, 2, 3\}$ .

Step 2. Write the concept.

If $x = a$ , where a is any real number, is a solution of the equation $x + b = c$ . Then, $x = a$ satisfies the equation. Here b and c are also any real numbers.

Step 3. Find the solution set.

Substitute the values from the replacement set one by one in the equation $8 m - 7 = 17$ .

At $m = 0$ ,

$\begin{array}{l} 8 m - 7 = 17 \\ 8 (0) - 7 = 17 \\ - 7 \neq 17 \end{array}$

So, $m = 0$ is not a solution to the equation $8 m - 7 = 17$ .

At $m = 1$ ,

localid="1643263844848" $\begin{array}{l} 8 m - 7 = 17 \\ 8 (1) - 7 = 17 \\ 1 \neq 17 \end{array}$

So, $m = 1$ is not a solution to the equation $8 m - 7 = 17$ .

At $m = 2$ ,

$\begin{array}{l} 8 m - 7 = 17 \\ 8 (2) - 7 = 17 \\ 9 \neq 17 \end{array}$

So, $m = 2$ is not a solution to the equation $8 m - 7 = 17$ .

At $m = 3$ ,

$\begin{array}{l} 8 m - 7 = 17 \\ 8 (3) - 7 = 17 \\ 17 = 17 \end{array}$

So, $m = 3$ is a solution to the equation $8 m - 7 = 17$ .

Therefore, the solution set is $\{3\}$ .

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Determine the solution set for the following equation if the replacement set is ${0, 1, 2, 3}$ :
role="math" localid="1643262518315" $8 m - 7 = 17$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Find the solution set.

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Determine the solution set for the following equation if the replacement set is {0,1,2,3}:role="math" localid="1643262518315" 8m−7=17

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Find the solution set.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Determine the solution set for the following equation if the replacement set is ${0, 1, 2, 3}$ :
role="math" localid="1643262518315" $8 m - 7 = 17$