Answer :
To solve the equation [tex]\(22x = 902\)[/tex] and find which numbers from the list are part of the solution set, follow these steps:
1. Solve for [tex]\(x\)[/tex]:
- Start by isolating [tex]\(x\)[/tex] on one side of the equation. You can do this by dividing both sides of the equation by 22.
[tex]\[
x = \frac{902}{22}
\][/tex]
2. Calculate the value of [tex]\(x\)[/tex]:
- When you divide 902 by 22, you get:
[tex]\[
x = 41
\][/tex]
3. Compare the value of [tex]\(x\)[/tex] to the given options:
- The question asks which numbers from a given list are part of the solution set for the equation. You simply need to check which of the listed numbers is equal to 41.
4. Check each option:
- A. 44
- B. 19
- C. 41
- D. 63
- E. 82
- F. 902
Only option C, which is 41, is equal to the value of [tex]\(x\)[/tex] we found.
So, the number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is 41. Therefore, the correct answer is:
C. 41
1. Solve for [tex]\(x\)[/tex]:
- Start by isolating [tex]\(x\)[/tex] on one side of the equation. You can do this by dividing both sides of the equation by 22.
[tex]\[
x = \frac{902}{22}
\][/tex]
2. Calculate the value of [tex]\(x\)[/tex]:
- When you divide 902 by 22, you get:
[tex]\[
x = 41
\][/tex]
3. Compare the value of [tex]\(x\)[/tex] to the given options:
- The question asks which numbers from a given list are part of the solution set for the equation. You simply need to check which of the listed numbers is equal to 41.
4. Check each option:
- A. 44
- B. 19
- C. 41
- D. 63
- E. 82
- F. 902
Only option C, which is 41, is equal to the value of [tex]\(x\)[/tex] we found.
So, the number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is 41. Therefore, the correct answer is:
C. 41
