Romero Norton
06/19/2024 · Middle School

\( -3[2-(1-3) * 2+1]=-3[2-(-2) * 3] \) \( (5 \%) \) Indique si es falso o verdadero la expresión

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Para determinar si la expresión \( -3[2-(1-3) * 2+1]=-3[2-(-2) * 3] \) es verdadera o falsa, vamos a simplificar ambos lados de la ecuación. **Lado izquierdo:** \[ -3[2-(1-3) * 2+1] \] Primero, simplificamos \( (1-3) \): \[ 1-3 = -2 \] Sustituyendo: \[ -3[2-(-2) * 2+1] \] Ahora, calculamos \( -2 * 2 \): \[ -2 * 2 = -4 \] Sustituyendo: \[ -3[2 - (-4) + 1] \] Ahora, \( -(-4) = 4 \): \[ -3[2 + 4 + 1] \] Sumamos: \[ 2 + 4 + 1 = 7 \] Por lo tanto, tenemos: \[ -3[7] = -21 \] **Lado derecho:** \[ -3[2-(-2) * 3] \] Calculamos \( -(-2) * 3 \): \[ -(-2) * 3 = 2 * 3 = 6 \] Sustituyendo: \[ -3[2 - 6] \] Calculamos \( 2 - 6 \): \[ 2 - 6 = -4 \] Por lo tanto, tenemos: \[ -3[-4] = 12 \] **Comparando ambos lados:** Lado izquierdo: \( -21 \) Lado derecho: \( 12 \) Dado que \( -21 \neq 12 \), la expresión es **falsa**.

Quick Answer

La expresión es falsa.
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