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Answer :
To determine whether each given age is a solution of the inequality [tex]\( a \geq 18 \)[/tex], we will check each age one by one and explain what it means.
1. Checking [tex]\( a = 18 \)[/tex]:
- We compare 18 to the minimum voting age requirement, which is 18.
- Since 18 is equal to 18, it satisfies the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 18 \)[/tex] is a solution. This means that an 18-year-old can vote.
2. Checking [tex]\( a = 17.5 \)[/tex]:
- We compare 17.5 to the minimum voting age requirement.
- Since 17.5 is less than 18, it does not satisfy the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 17.5 \)[/tex] is not a solution.
3. Checking [tex]\( a = 97.5 \)[/tex]:
- We compare 97.5 to the minimum voting age requirement.
- Since 97.5 is greater than 18, it satisfies the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 97.5 \)[/tex] is a solution. This means that a 97.5-year-old can vote.
In summary:
- [tex]\( a = 18 \)[/tex] and [tex]\( a = 97.5 \)[/tex] are solutions to the inequality.
- The solution [tex]\( a = 18 \)[/tex] means that an 18-year-old can vote.
- The solution [tex]\( a = 97.5 \)[/tex] means that a 97.5-year-old can vote.
1. Checking [tex]\( a = 18 \)[/tex]:
- We compare 18 to the minimum voting age requirement, which is 18.
- Since 18 is equal to 18, it satisfies the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 18 \)[/tex] is a solution. This means that an 18-year-old can vote.
2. Checking [tex]\( a = 17.5 \)[/tex]:
- We compare 17.5 to the minimum voting age requirement.
- Since 17.5 is less than 18, it does not satisfy the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 17.5 \)[/tex] is not a solution.
3. Checking [tex]\( a = 97.5 \)[/tex]:
- We compare 97.5 to the minimum voting age requirement.
- Since 97.5 is greater than 18, it satisfies the inequality [tex]\( a \geq 18 \)[/tex].
- Therefore, [tex]\( a = 97.5 \)[/tex] is a solution. This means that a 97.5-year-old can vote.
In summary:
- [tex]\( a = 18 \)[/tex] and [tex]\( a = 97.5 \)[/tex] are solutions to the inequality.
- The solution [tex]\( a = 18 \)[/tex] means that an 18-year-old can vote.
- The solution [tex]\( a = 97.5 \)[/tex] means that a 97.5-year-old can vote.
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