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d) \( 1,5 x<3 \)

Ask by Tyler Weston. in Chile
Nov 27,2024

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Answer

Para resolver \( 1.5x < 3 \), dividimos por 1.5 y obtenemos \( x < 2 \).

Solution

Para resolver la desigualdad \( 1.5x < 3 \), seguimos estos pasos: 1. **Dividir ambos lados de la desigualdad por 1.5**: \[ x < \frac{3}{1.5} \] 2. **Calcular el resultado**: \[ \frac{3}{1.5} = 2 \] Por lo tanto, la solución de la desigualdad es: \[ x < 2 \] Esto significa que \( x \) puede tomar cualquier valor menor que 2.

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To solve the inequality \( 1.5x < 3 \), start by dividing both sides by 1.5 to isolate \( x \). This gives you \( x < 2 \). Always remember, when you divide or multiply both sides by a negative number in inequalities, the direction of the inequality sign flips—though here it remains \( < \) since we're working with a positive divisor. In real-life scenarios, this type of inequality can be useful for setting limits and guidelines. For instance, if you're measuring how many hours you can play video games before getting grounded, every hour counts towards that maximum of 2—so the closer you are to that limit, the more strategic your playing time needs to be!

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