High School

Which number(s) below belong to the solution set of the equation? Check all that apply.

[tex]22x = 902[/tex]

A. 44
B. 63
C. 41
D. 902
E. 82
F. 19

Answer :

To solve the equation [tex]\(22x = 902\)[/tex] and determine which number(s) from the options belong to the solution set, follow these steps:

1. Solve for [tex]\(x\)[/tex]:
- Start by dividing both sides of the equation by 22 to solve for [tex]\(x\)[/tex].
[tex]\[
x = \frac{902}{22}
\][/tex]

2. Calculate the value of [tex]\(x\)[/tex]:
- [tex]\(\frac{902}{22}\)[/tex] simplifies to 41. Therefore, [tex]\(x = 41\)[/tex].

3. Check which numbers satisfy the equation:
- We know that the solution for [tex]\(x\)[/tex] is 41. So, we need to see if any of the given options equal 41.

- A. 44: [tex]\(44 \neq 41\)[/tex], so it does not belong to the solution set.
- B. 63: [tex]\(63 \neq 41\)[/tex], so it does not belong to the solution set.
- C. 41: [tex]\(41 = 41\)[/tex], so it does belong to the solution set.
- D. 902: [tex]\(902 \neq 41\)[/tex], so it does not belong to the solution set.
- E. 82: [tex]\(82 \neq 41\)[/tex], so it does not belong to the solution set.
- F. 19: [tex]\(19 \neq 41\)[/tex], so it does not belong to the solution set.

The number(s) that belong to the solution set of the equation [tex]\(22x = 902\)[/tex] is:

- C. 41

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