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what do you think?
what does \(\le\) mean?
I'll start you off. π = π ; true or false? π < π ; true or false? π ≤ π ; true or false? @ikeobi
less than or equal to
OK, so is \(\pi\) either: less then \(\pi\)..................... or ..............equal to \(\pi\)?
You aren't sure if \(\pi\) meets either one of those conditions? \(\pi\) is just a real number.
if \[\pi \le \pi \] this means \[\pi < \pi \] or \[\pi=\pi\] so is the statement true or false
\(\pi\) 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??
E.g., if I said: TRUE or FALSE: \(7\le7\) how would you answer that?
7=7 is true but 7 cannot be less than 7
It is the same for: TRUE or FALSE: \(\pi \le \pi\)
that is true but that's where the less than or equal to comes into play
Right, but \(\le\) doesn't mean "less than AND equal to" it means "less than OR equal to"
You said so yourself, up above!! :)
it can be either one, if it satisfies either condition then it is true by the condition
So: \(7\le7\) is true because 7=7 \(2\le7\) is true because 2<7