Question
Ask by Park Smith. in Panama
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La solución de la desigualdad
es
.
Solution
-
Dada la desigualdad:
-
Se puede expresar en términos del valor absoluto de
, ya que . Así, la desigualdad es equivalente a: -
Calculamos la raíz cuadrada de 169:
-
Entonces, la desigualdad se transforma en:
-
Esto significa que
debe estar entre y :
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The Deep Dive
To solve the inequality
, we start by rewriting it in terms of a square root. This leads us to
. This means that any value of
within this open interval will satisfy the original inequality. Picture it like a warm hug from -13 to 13, where you’re free to roam but don’t go beyond those bounds!
When grappling with inequalities, it’s common to overlook the implications of squaring terms. Mistakes often arise when students forget the open interval at the roots, or when they accidentally switch signs when multiplying or dividing by negative numbers. Always remember: the direction of the inequality changes when you multiply or divide both sides by a negative value!