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? Choices: (A)6 + x

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?   Choices: (A)6 + x < 18 (B)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.

Bytelearn · Accepted Answer

Understand the Problem:  Step 1: Understand the problem and set up the inequality. Edna's phone can operate for a total of 18 hours when fully charged. It has already been used for 6 hours. We need to find out how many more hours (x) it can operate. The inequality will compare the sum of the hours already used and the hours remaining to the total operational hours. Calculation: 6 hours used + x hours remaining ≤ 18 hours total.Solve the Inequality:  Step 2: Solve the inequality. Starting from the inequality 6 + x ≤ 18, we need to isolate x to find how many more hours the phone can operate. Subtract 6 from both sides of the inequality: 6 + x - 6 ≤ 18 - 6 x ≤ 12Write the Solution:  Step 3: Write the complete sentence describing the solution. Since x represents the number of hours Edna's phone can still be used, and we found x ≤ 12, Edna's phone can operate for up to 12 more hours without running out of battery.

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