Question

when ednas phone is fully charged, it can operate for up to 18 hours before running out of battery. it has been 6 hours since ednas phone was fully charged. let x represent how many more hours ednas 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. ednas phone can operate for to more hours without

Explanation:

Part 1: Choosing the Correct Inequality

The total operating time (used time + remaining time) should be at most the maximum battery life (18 hours). So \( 6 + x \) (6 hours used + \( x \) hours remaining) must be less than or equal to 18. Thus, \( 6 + x \leq 18 \) is correct.

Step 1: Subtract 6 from both sides

To solve \( 6 + x \leq 18 \), subtract 6 from each side:
\( 6 + x - 6 \leq 18 - 6 \)
Simplify to get \( x \leq 12 \). Since time can't be negative, \( x \geq 0 \) (implicitly, as it's hours remaining). So the solution is \( 0 \leq x \leq 12 \).

Answer:

\( 6 + x \leq 18 \)

Part 2: Solving the Inequality