Pregunta
18. Solve this inequality: \( j / 4-8<4 \). A. \( j<12 \) B. \( j>-12 \) C. \( j<-48 \) D. \( j<48 \)
Ask by Todd Colon. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
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The solution is \( j < 48 \), which is option D.
Solución
We start with the inequality:
j/4 - 8 < 4
Step 1: Add 8 to both sides to isolate j/4.
j/4 - 8 + 8 < 4 + 8
j/4 < 12
Step 2: Multiply both sides by 4 (since 4 is positive, the inequality sign remains the same).
j < 12 × 4
j < 48
Thus, the solution is j < 48, which corresponds to option D.
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Simplifique esta solución Extra Insights
To solve the inequality \( \frac{j}{4} - 8 < 4 \), we start by adding 8 to both sides to eliminate the constant on the left. This gives us \( \frac{j}{4} < 12 \). Next, we multiply both sides by 4 to isolate \( j \), resulting in \( j < 48 \). So, the correct option is D. Isn't solving inequalities a bit like untangling a mystery? You peel back layers (or numbers) to reveal the truth underneath! Plus, every step you take gets you closer to the final answer, making it all the more satisfying when you finally see it clearly!
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