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Given info: could be true/false | Quick guide

"Could be true" questions

Could be true means that the statement is possible without breaking any of the rules—even once!
The wrong choices must be false—they break a rule in some way.

"Could be false" questions

Could be false means that it's possible for the statement to be false (untrue), even if it’s only once, without breaking any of the rules.
For these, the wrong choices must be true—they are always true, no matter what.

Checklist

Since you aren’t given any new information on these questions, the answer is obtainable from your initial diagram and rules.
Check your diagram and deductions
It’s possible that the answer is almost immediately evident from the deductions you’ve already made.
Check your earlier work
  • For a could be true question, if you see that one of the choices did happen in an earlier, acceptable sketch, then that’s the answer!
  • For a could be false question, if you see that one of the choices didn’t happen in an earlier, acceptable sketch, then that’s the answer!
Note: You cannot eliminate any choices from this step—but if you find the answer, you're done!
Check for rule violations
Look at the rules to see if any of the choices clearly violates the rule (for a could be true) or clearly must be true (for a could be false question). If so—eliminate it!
Test whatever choices remain
If only two choices remain, and you feel confident in your work so far, you can just test one of them—if it accomplishes what you need (whether it’s a could be true or could be false) then it’s the answer! If it doesn’t accomplish what you need, then the other remaining choice is the answer.

Want to join the conversation?

  • old spice man green style avatar for user Riley Pitts
    "Note: You cannot eliminate any choices from this step—but if you find the answer, you're done!"

    Why can you not eliminate any choices?
    (3 votes)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user krobinson
    "Could be false means that it's possible for the statement to be false (untrue), even if it’s only once, without breaking any of the rules."

    Wouldn't a statement that is false break the rules? How could you possibly have a false statement that does not break any of the rules?
    (3 votes)
    Default Khan Academy avatar avatar for user