Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( y \leq -14 \)
Solución
1. Start with the inequality:
\[
\frac{y+5}{3} + 4 \leq 1
\]
2. Subtract 4 from both sides:
\[
\frac{y+5}{3} \leq 1 - 4
\]
\[
\frac{y+5}{3} \leq -3
\]
3. Multiply both sides by 3 (since 3 is positive, the inequality sign remains the same):
\[
y+5 \leq -3 \times 3
\]
\[
y+5 \leq -9
\]
4. Subtract 5 from both sides:
\[
y \leq -9 - 5
\]
\[
y \leq -14
\]
Thus, the solution is:
\[
y \leq -14
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Beyond the Answer
To tackle this inequality, let’s first isolate \( y \). Start by subtracting 4 from both sides: \[ \frac{y+5}{3} \leq 1 - 4 \] This simplifies to: \[ \frac{y+5}{3} \leq -3 \] Next, multiply both sides by 3 to eliminate the fraction (remembering that multiplying by a positive number does not change the direction of the inequality): \[ y + 5 \leq -9 \] Now, subtract 5 from both sides: \[ y \leq -9 - 5 \] This gives us: \[ y \leq -14 \] So, the solution to the inequality is \( y \leq -14 \). Now you've cracked the code! 🎉
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