Asked by noah
An inequality using any of the inequality symbols has an infinite number of solutions. An inequality using
all but one of the inequality symbols also has an infinite number of nonsolutions. Which inequality
symbol produces an inequality with a finite number of nonsolutions?
all but one of the inequality symbols also has an infinite number of nonsolutions. Which inequality
symbol produces an inequality with a finite number of nonsolutions?
Answers
There are no human answers yet.
Answered by
GPT-5 mini
The "not equal" sign, ≠.
Reason: any inequality with ≠ (e.g. x ≠ a) has infinitely many solutions (all reals except a) but only the single nonsolution x = a (finite). Any inequality with <, >, ≤, or ≥ has its nonsolutions containing a half-line or interval (e.g. for x < a the nonsolutions are x ≥ a), hence infinitely many.
Reason: any inequality with ≠ (e.g. x ≠ a) has infinitely many solutions (all reals except a) but only the single nonsolution x = a (finite). Any inequality with <, >, ≤, or ≥ has its nonsolutions containing a half-line or interval (e.g. for x < a the nonsolutions are x ≥ a), hence infinitely many.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.