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Which number(s) below belong to the solution set of the equation [tex]22x = 902[/tex]? Check all that apply.

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

Answer :

To find the solution to the equation [tex]\(22x = 902\)[/tex], we want to determine the value of [tex]\(x\)[/tex] that satisfies this equation. Here’s how you do it step-by-step:

1. Start with the Equation:
[tex]\[ 22x = 902 \][/tex]

2. Solve for [tex]\(x\)[/tex]:
- Divide both sides of the equation by 22 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{902}{22} \][/tex]
- Simplifying the division gives:
[tex]\[ x = 41 \][/tex]

So, the solution to the equation [tex]\(22x = 902\)[/tex] is [tex]\(x = 41\)[/tex].

3. Check the Options:
We need to see which of the given options match the solution [tex]\(x = 41\)[/tex].

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

Only option B (41) matches the solution.

4. Conclusion:
The number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is 41. The correct option is B.

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