determine whether the statement is true or false: π≤π

Question

loser66 · Answer

what do you think?

debbieg · Answer

what does $\le$ mean?

anonymous · Answer

I'll start you off.

π = π ; true or false?
π < π ; true or false?

π ≤ π ; true or false?

@ikeobi

anonymous · Answer

less than or equal to

goformit100 · Answer

First of all @ikeobi : A Warm Welcome to 'Open Study'. Please Read CoC (compulsory to read by all "Open Study" users) : http://openstudy.com/code-of-conduct

anonymous · Answer

ok

debbieg · Answer

OK, so is $\pi$ either:

less then $\pi$..................... or ..............equal to $\pi$?

anonymous · Answer

not sure

debbieg · Answer

You aren't sure if $\pi$ meets either one of those conditions? $\pi$ is just a real number.

anonymous · Answer

ok

debbieg · Answer

ok.... what?

anonymous · Answer

if $$\pi \le \pi $$  

this means $$\pi < \pi $$ or $$\pi=\pi$$ so is the statement true or false

debbieg · Answer

$\pi$ is a real number, for our purposes here it isn't really any different than, say, the number 7. 

So is it true that EITHER.... 7<7  ?  OR that 7=7 ? Is at least one of those true??

debbieg · Answer

E.g., if I said:

TRUE or FALSE:   $7\le7$

how would you answer that?

anonymous · Answer

7=7 is true but 7 cannot be less than 7

debbieg · Answer

It is the same for:

TRUE or FALSE:  $\pi \le \pi$

anonymous · Answer

that is true but that's where the less than or equal to comes into play

debbieg · Answer

Right, but $\le$ doesn't mean 

"less than AND equal to"

it means

"less than OR equal to"

debbieg · Answer

You said so yourself, up above!! :)

anonymous · Answer

it can be either one, if it satisfies either condition then it is true by the condition

debbieg · Answer

So:

$7\le7$  is true because 7=7
$2\le7$  is true because 2<7

anonymous · Answer

thanks