With new batteries, Jayce's camping flashlight can work for up to 14 hours before it runs out of power. He just put new batteries in and has already used the flashlight for 3 hours. Let $$ x $$ represent how many more hours Jayce can use his flashlight before running out of nower. Which inequality describes the problem?

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To determine how many more hours Jayce can use his flashlight before it runs out of power, let's break down the information:

1. **Total Battery Life:** The flashlight can operate for a maximum of 14 hours with new batteries.
2. **Hours Already Used:** Jayce has already used the flashlight for 3 hours.
3. **Additional Usage (x):** We want to find the number of additional hours $$ x $$ he can use the flashlight.

The total usage of the flashlight will be the sum of the hours already used and the additional hours. This can be represented by the inequality:

$$
3 + x \leq 14
$$

This inequality states that the sum of the hours already used (3 hours) and the additional hours ($$ x $$) should be less than or equal to the total battery life (14 hours).

**Final Inequality:**
$$
3 + x \leq 14
$$

Answer: $$ 3 + x \leq 14 $$
The inequality is $$ 3 + x \leq 14 $$.

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