Question

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 up to blank more hours without running out of battery.

Explanation:

Part 1: Choosing the Inequality

The total operating time (6 hours used + \( x \) hours remaining) should be at most 18 hours (since the phone can't operate more than its total battery life). So the inequality is \( 6 + x \leq 18 \).

Step1: Subtract 6 from both sides

To solve \( 6 + x \leq 18 \), we subtract 6 from both sides: \( 6 + x - 6 \leq 18 - 6 \)

Step2: Simplify

Simplifying gives \( x \leq 12 \).

Answer:

\( 6 + x \leq 18 \)

Part 2: Solving the Inequality