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Answer :
Final answer:
The correct inequality to represent the situation of Larissa's watch battery is 20 - 12 ≤ x (option C). This means the remaining battery life is at least 8 hours.
Explanation:
The question involves determining how long Larissa's watch will last given that it has already been on for 12 hours and that the total time it can last is 20 hours. To answer this, we need to subtract the number of hours the watch has already been on (12 hours) from the total time the watch can stay on when fully charged (20 hours), so we get 20 - 12. The remaining time will be the difference. Therefore, to model this situation in the form of inequality, we can denote the remaining time with 'x'. In this case, 'x' is the unknown. The correct inequality would therefore be 20 - 12 ≤ x (option C). This means that the remaining time, x, should be equal to or more than (20 - 12), i.e., 8 hours.
The correct inequality is 12 + x ≤ 20.
This inequality states that the total number of hours that the watch has been used (12 hours) plus the number of hours that it can still be used (x hours) must be less than or equal to the total number of hours that it can last on a full charge (20 hours).
The other inequalities are not correct because they either imply that the watch can last for more than 20 hours on a full charge, or that it can be used for more hours than it has been used so far.
Here is a breakdown of the other inequalities:
12 - x ≥ 20: This inequality states that the total number of hours that the watch has been used (12 hours) minus the number of hours that it can still be used (x hours) must be greater than or equal to 20 hours. This implies that the watch can last for more than 20 hours on a full charge, which is not true.
20 - 12 ≤ x: This inequality states that the number of hours that the watch can still be used (x hours) must be less than or equal to 8 hours. However, the watch has already been used for 12 hours, which means that it cannot still be used for 8 hours.
20 + 12 ≥ x: This inequality states that the number of hours that the watch can still be used (x hours) must be greater than or equal to 32 hours. However, the watch can only last for up to 20 hours on a full charge, so it cannot still be used for 32 hours.
Therefore, the only inequality that correctly models the situation is 12 + x ≤ 20.
Learn more about Inequality problem here:
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