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a) \( 4 x+9>3 x-2 \)

Ask by Davies Garza. in Mexico
Feb 18,2025

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La solución de la desigualdad \( 4x + 9 > 3x - 2 \) es \( x > -11 \).

Solución

Para resolver la desigualdad \( 4x + 9 > 3x - 2 \), seguimos estos pasos: 1. **Restar \( 3x \) de ambos lados**: \[ 4x - 3x + 9 > -2 \] Esto simplifica a: \[ x + 9 > -2 \] 2. **Restar 9 de ambos lados**: \[ x > -2 - 9 \] Esto simplifica a: \[ x > -11 \] Por lo tanto, la solución de la desigualdad es: \[ x > -11 \]

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To solve the inequality \( 4 x + 9 > 3 x - 2 \), start by isolating \( x \). Subtract \( 3x \) from both sides to get \( 4x - 3x + 9 > -2 \), simplifying to \( x + 9 > -2 \). Next, subtract 9 from both sides, giving you \( x > -11 \). So the solution is \( x > -11 \). To visualize this inequality on a number line, draw an open circle at -11 (indicating -11 is not included) and shade everything to the right. This method helps understand how \( x \) can take on many values, making it clear there's a whole world of solutions out there!

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