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 \boxed{} more hours without running out of battery.

Explanation:

Step1: Select correct inequality

The total operating time (used + remaining) can be at most 18 hours, so the inequality is $6 + x \leq 18$.

Step2: Isolate x via subtraction

Subtract 6 from both sides to solve for x.
$6 + x - 6 \leq 18 - 6$

Step3: Simplify to find solution

Calculate the result of the subtraction.
$x \leq 12$

Answer:

Correct inequality: $6 + x \leq 18$
Edna's phone can operate for up to 12 more hours without running out of battery.