Questionion 3.3 Question 8, 3.3.B-6 Part 3 of 8
Find the solution(s) in the set $W$ for each of the following parts a) th A. 7 B. 5 C. 6 D. 8 b) $(11-x)-5=1$ A. 6 - 8 C. 5
0. 7 c) $7+x=x+7$ A. 7

Studdy Solution

STEP 1

1. We are solving for $x$ in each given equation.
2. We assume the set $W$ refers to a set of possible solutions provided in each part.
3. Each part of the problem is independent and requires solving a simple equation.

STEP 2

1. Solve the equation for part b) $(11-x)-5=1$ .
2. Solve the equation for part c) $7+x=x+7$ .

STEP 3

For part b), start with the equation:
$(11-x) - 5 = 1$
Add 5 to both sides to simplify:
$11-x = 6$

STEP 4

Subtract 11 from both sides to isolate $-x$ :
$-x = 6 - 11$
$-x = -5$
Multiply both sides by $-1$ to solve for $x$ :
$x = 5$

STEP 5

For part c), start with the equation:
$7 + x = x + 7$
Subtract $x$ from both sides:
$7 = 7$
This is a true statement, indicating that the equation is an identity. Therefore, any real number $x$ is a solution.
The solutions are: - For part b), the solution is $x = 5$ . - For part c), the solution is any real number.

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