Answer :
To solve the equation [tex]\( 22x = 902 \)[/tex] and determine which numbers belong to the solution set, here's a step-by-step explanation:
1. Understand the Equation: We're given [tex]\( 22x = 902 \)[/tex], which means 22 times a number [tex]\( x \)[/tex] equals 902.
2. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], you need to isolate it on one side of the equation. You can do this by dividing both sides of the equation by 22.
- Thus, [tex]\( x = \frac{902}{22} \)[/tex].
3. Calculate [tex]\( x \)[/tex]:
- Perform the division: [tex]\( 902 \div 22 = 41 \)[/tex].
- So, [tex]\( x = 41 \)[/tex].
4. Determine Which Numbers Belong to the Solution Set:
- We need to check if the number we found (41) is among the given options: 41, 44, 63, 19, 82, and 902.
- Since [tex]\( x = 41 \)[/tex], the number 41 does indeed satisfy the equation as it equals the calculated solution.
Therefore, the number that belongs to the solution set of the equation [tex]\( 22x = 902 \)[/tex] is 41.
1. Understand the Equation: We're given [tex]\( 22x = 902 \)[/tex], which means 22 times a number [tex]\( x \)[/tex] equals 902.
2. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], you need to isolate it on one side of the equation. You can do this by dividing both sides of the equation by 22.
- Thus, [tex]\( x = \frac{902}{22} \)[/tex].
3. Calculate [tex]\( x \)[/tex]:
- Perform the division: [tex]\( 902 \div 22 = 41 \)[/tex].
- So, [tex]\( x = 41 \)[/tex].
4. Determine Which Numbers Belong to the Solution Set:
- We need to check if the number we found (41) is among the given options: 41, 44, 63, 19, 82, and 902.
- Since [tex]\( x = 41 \)[/tex], the number 41 does indeed satisfy the equation as it equals the calculated solution.
Therefore, the number that belongs to the solution set of the equation [tex]\( 22x = 902 \)[/tex] is 41.
