Question

with new batteries, jayces 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 power. which inequality describes the problem? 3 + x ≤ 14 3 + x < 14 solve the inequality. then, complete the sentence to describe the solution. jayce can use his flashlight for up to \boxed{} more hours before running out of power.

Explanation:

Step1: Determine the inequality

The total hours the flashlight can work is up to 14 hours. The hours already used (3) plus the additional hours (x) should be less than or equal to 14. So the inequality is \(3 + x \leq 14\).

Step2: Solve the inequality

Subtract 3 from both sides of \(3 + x \leq 14\):
\(3 + x - 3 \leq 14 - 3\)
\(x \leq 11\)

Answer:

The inequality is \(3 + x \leq 14\), and Jayce can use his flashlight for up to 11 more hours.