Question

which of the following values for n makes the inequality squareroot2n < 5 true?

12.5
16
8
18

Answer 1

Interpret as sqrt(2n) < 5. Square both sides (both nonnegative) to get 2n < 25, so n < 12.5. From the choices only 8 is less than 12.5. (12.5 gives equality, 16 and 18 are too large.)