Question

when edna’s phone is fully charged, it can operate for up to 18 hours before running out of battery. it has been 6 hours since edna’s phone was fully charged. let x represent how many more hours edna’s phone can operate without running out of battery. which inequality describes the problem? 6 + x < 18 6 + x ≤ 18 solve the inequality. then, complete the sentence to describe the solution. edna’s phone can operate for up to more hours without running out of battery.

Explanation:

Step1: Determine the correct inequality

The total operating time (6 hours used + \( x \) hours remaining) should be at most 18 hours (since it can operate up to 18 hours). So the inequality is \( 6 + x \leq 18 \).

Step2: Solve the inequality \( 6 + x \leq 18 \)

Subtract 6 from both sides: \( x \leq 18 - 6 \)
Simplify: \( x \leq 12 \)

Step3: Complete the sentence

Edna’s phone can operate for up to 12 more hours without running out of battery.

Answer:

The correct inequality is \( 6 + x \leq 18 \). The solution is \( x \leq 12 \), so Edna’s phone can operate for up to 12 more hours without running out of battery.