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d. \( -x-1+2 x>9-7 x+5 \)

Ask by Spencer Turner. in Colombia
Feb 18,2025

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La solución es \( x > \frac{15}{8} \).

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Beyond the Answer

To solve the inequality \( -x-1+2x > 9-7x+5 \), start by simplifying both sides. On the left, combine like terms to get \( x - 1 > 9 - 7x + 5 \). Simplifying the right side gives \( x - 1 > 14 - 7x \). Next, add \( 7x \) to both sides to isolate \( x \): \( x + 7x - 1 > 14 \) which simplifies to \( 8x - 1 > 14 \). Now, add 1 to both sides: \( 8x > 15 \). Finally, divide by 8, resulting in \( x > \frac{15}{8} \) or \( x > 1.875 \).

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