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CAHSEE Math 2.2 Mathematical Reasoning 282 Views


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Description:

Mathematical Reasoning: Drill Set 2, Problem 2. A positive integer, n, when squared, is always greater than or equal to the doubling of n, except when n equals...what?

Language:
English Language

Transcript

00:02

Here's an unshmoopy question you'll find on an exam somewhere in life...

00:06

A positive integer, n, when squared, is always greater than or equal to the doubling of n,

00:11

except when n equals... what?

00:14

And here are the potential answers...

00:21

Okay, so this question just asks us to try a few random numbers to

00:24

see whether we can conceive the theory of n in our brain.

00:29

When we get these kinds of problems, always

00:31

try 0 first because it's usually really easy to manipulate.

00:35

Then 1. Then negative 1. Then a fraction. Annnnnd we're done. Usually.

00:41

In this case, note the word ALWAYS and greater than or equal to...

00:45

It's giving us the equation n squared is greater than or equal to 2n.

00:50

True for 0. True for 2. True for 4. True for one half? No.

00:55

Try 1. Well, 2n is 2 and 1 squared is...1. So it's the only one that's NOT true --

01:05

And the answer is A.

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