Solución de inteligencia artificial de Upstudy
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Solución
Respondido por UpStudy AI y revisado por un tutor profesional
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Beyond the Answer
To solve the first inequality \( -40 > 25 - 5x \), you can start by isolating \( x \). Subtract 25 from both sides to get \( -65 > -5x \). Dividing both sides by -5 (remember to flip the inequality sign when dividing by a negative number), gives \( x > 13 \). For the second inequality \( 2x + 4 \leq 29 \), begin by subtracting 4 from both sides, resulting in \( 2x \leq 25 \). Dividing both sides by 2 yields \( x \leq 12.5 \). Therefore, when combining these results, the solution indicates that there are no values for \( x \) that satisfy both inequalities, as \( x \) cannot be both greater than 13 and less than or equal to 12.5. Remember, always carefully check your work and the operations applied to inequalities, especially regarding direction changes when multiplying or dividing by negative numbers!
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