Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Неравенство
выполняется для всех действительных чисел
.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Beyond the Answer
In this inequality,
, you can see that the terms involving
on both sides are identical. This means that the
terms effectively cancel out when rearranging the inequality. What remains is
, which is always true! This implies that the original inequality holds for all values of
. So, you can confidently say that any
works here!
For a fun tidbit: inequalities can sometimes have surprising outcomes! In certain cases, you’ll find that simplifying leads to a universal truth, which means the solution isn’t just a specific number but an entire infinite range. In this case, play with any number you fancy—
,
, or even
—and you’ll always find that it upholds the inequality!
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