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Answer :
To solve the equation [tex]\(22x = 902\)[/tex], we need to find which numbers from the given options make the equation true.
Step 1: Solve for [tex]\(x\)[/tex]
To find the value of [tex]\(x\)[/tex], we'll divide both sides of the equation by 22:
[tex]\[
x = \frac{902}{22}
\][/tex]
Simplifying, we get:
[tex]\[
x = 41
\][/tex]
Step 2: Check each option
Now, we will check each of the given options to see which one is equal to 41.
- A. 41: This matches our calculated value of [tex]\(x\)[/tex], so 41 is a solution.
- B. 63: This does not match 41, so it is not a solution.
- C. 44: This does not match 41, so it is not a solution.
- D. 19: This does not match 41, so it is not a solution.
- E. 902: This does not match 41, so it is not a solution.
- F. 82: This does not match 41, so it is not a solution.
The number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is:
- A. 41
Therefore, the correct solution is 41.
Step 1: Solve for [tex]\(x\)[/tex]
To find the value of [tex]\(x\)[/tex], we'll divide both sides of the equation by 22:
[tex]\[
x = \frac{902}{22}
\][/tex]
Simplifying, we get:
[tex]\[
x = 41
\][/tex]
Step 2: Check each option
Now, we will check each of the given options to see which one is equal to 41.
- A. 41: This matches our calculated value of [tex]\(x\)[/tex], so 41 is a solution.
- B. 63: This does not match 41, so it is not a solution.
- C. 44: This does not match 41, so it is not a solution.
- D. 19: This does not match 41, so it is not a solution.
- E. 902: This does not match 41, so it is not a solution.
- F. 82: This does not match 41, so it is not a solution.
The number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is:
- A. 41
Therefore, the correct solution is 41.
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