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After Simon fully charges his electric car, he can drive for up to 350350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140140 miles since then.\newlineLet xx represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem?\newlineChoices:\newline(A) 140+x350140 + x \geq 350\newline(B) 140+x350140 + x \leq 350\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineSimon can drive up to ___\_\_\_ more miles before running out of battery.

Full solution

Q. After Simon fully charges his electric car, he can drive for up to 350350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140140 miles since then.\newlineLet xx represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem?\newlineChoices:\newline(A) 140+x350140 + x \geq 350\newline(B) 140+x350140 + x \leq 350\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineSimon can drive up to ___\_\_\_ more miles before running out of battery.
  1. Identify Distance: Step 11: Identify the total distance Simon's car can travel on a full charge and the distance already traveled.\newlineSimon's car can travel up to 350350 miles on a full charge. He has already driven 140140 miles.
  2. Calculate Additional Miles: Step 22: Calculate how many more miles Simon can drive. Let xx be the number of additional miles Simon can drive. The equation is: 350350 (total miles) - 140140 (miles already driven) =x= x x=210x = 210
  3. Determine Inequality: Step 33: Determine the correct inequality that represents the situation.\newlineSince Simon has already driven 140140 miles, and we are adding the unknown miles xx he can still drive, the inequality should ensure the total does not exceed 350350 miles:\newline140+x350140 + x \leq 350
  4. Solve Inequality: Step 44: Solve the inequality to confirm the calculation.\newline140+x350140 + x \leq 350\newlineSubtract 140140 from both sides:\newlinex210x \leq 210

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