Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

502n50-2n is less then 4005n400-5n

Full solution

Q. 502n50-2n is less then 4005n400-5n
  1. Simplify inequality: Simplify the inequality by moving all terms involving nn to one side and constants to the other side.502n<4005n50 - 2n < 400 - 5nAdd 5n5n to both sides:50+3n<40050 + 3n < 400
  2. Add 5n5n: Subtract 5050 from both sides to isolate the term with nn.3n<3503n < 350
  3. Subtract 5050: Divide both sides by 33 to solve for nn.\newlinen<3503n < \frac{350}{3}\newlinen<116.67n < 116.67

More problems from Find limits involving trigonometric functions