Answer :
To solve the equation [tex]\(22x = 902\)[/tex], we need to find the value of [tex]\(x\)[/tex] that satisfies this equation.
1. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 22 to isolate [tex]\(x\)[/tex].
[tex]\[
x = \frac{902}{22} = 41
\][/tex]
So, the solution to the equation is [tex]\(x = 41\)[/tex].
2. Check which numbers belong to the solution set by testing each option:
- A. 44: Check if [tex]\(22 \times 44 = 902\)[/tex].
[tex]\[
22 \times 44 = 968 \quad (\text{not equal to } 902)
\][/tex]
So, 44 is not a solution.
- B. 902: Check if [tex]\(22 \times 902 = 902\)[/tex].
[tex]\[
22 \times 902 = 19844 \quad (\text{not equal to } 902)
\][/tex]
So, 902 is not a solution.
- C. 41: Check if [tex]\(22 \times 41 = 902\)[/tex].
[tex]\[
22 \times 41 = 902 \quad (\text{equal to } 902)
\][/tex]
So, 41 is a solution.
- D. 63: Check if [tex]\(22 \times 63 = 902\)[/tex].
[tex]\[
22 \times 63 = 1386 \quad (\text{not equal to } 902)
\][/tex]
So, 63 is not a solution.
- E. 82: Check if [tex]\(22 \times 82 = 902\)[/tex].
[tex]\[
22 \times 82 = 1804 \quad (\text{not equal to } 902)
\][/tex]
So, 82 is not a solution.
- F. 19: Check if [tex]\(22 \times 19 = 902\)[/tex].
[tex]\[
22 \times 19 = 418 \quad (\text{not equal to } 902)
\][/tex]
So, 19 is not a solution.
3. Conclusion:
The only number that satisfies the equation [tex]\(22x = 902\)[/tex] is 41. Therefore, the correct answer is C. 41.
1. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 22 to isolate [tex]\(x\)[/tex].
[tex]\[
x = \frac{902}{22} = 41
\][/tex]
So, the solution to the equation is [tex]\(x = 41\)[/tex].
2. Check which numbers belong to the solution set by testing each option:
- A. 44: Check if [tex]\(22 \times 44 = 902\)[/tex].
[tex]\[
22 \times 44 = 968 \quad (\text{not equal to } 902)
\][/tex]
So, 44 is not a solution.
- B. 902: Check if [tex]\(22 \times 902 = 902\)[/tex].
[tex]\[
22 \times 902 = 19844 \quad (\text{not equal to } 902)
\][/tex]
So, 902 is not a solution.
- C. 41: Check if [tex]\(22 \times 41 = 902\)[/tex].
[tex]\[
22 \times 41 = 902 \quad (\text{equal to } 902)
\][/tex]
So, 41 is a solution.
- D. 63: Check if [tex]\(22 \times 63 = 902\)[/tex].
[tex]\[
22 \times 63 = 1386 \quad (\text{not equal to } 902)
\][/tex]
So, 63 is not a solution.
- E. 82: Check if [tex]\(22 \times 82 = 902\)[/tex].
[tex]\[
22 \times 82 = 1804 \quad (\text{not equal to } 902)
\][/tex]
So, 82 is not a solution.
- F. 19: Check if [tex]\(22 \times 19 = 902\)[/tex].
[tex]\[
22 \times 19 = 418 \quad (\text{not equal to } 902)
\][/tex]
So, 19 is not a solution.
3. Conclusion:
The only number that satisfies the equation [tex]\(22x = 902\)[/tex] is 41. Therefore, the correct answer is C. 41.
