Question

consider the following statement: 1 < 5
a multiply both sides of the inequality by -5 and simplify. do not change the sign of the inequality.
-5 < -25
you got it!
b after multiplying both sides by -5, does the inequality still hold true?
yes a
no b

Explanation:

Step1: Analizar la desigualdad original

La desigualdad original es \(1 < 5\), lo cual es verdadero.

Step2: Multiplicar ambos lados por -5 (sin cambiar el signo)

Multiplicando ambos lados por \(-5\), obtenemos \(-5 < -25\).

Step3: Verificar si la desigualdad es verdadera

En la recta numérica, \(-5\) está a la derecha de \(-25\) (ya que \(-5 > -25\)). Entonces, \(-5 < -25\) es falso.

Answer:

B. No