Question
17. Determine the smallest integer that makes \( 2 h+8>3 h-6 \) true.
Ask by Clarke Griffiths. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The smallest integer that makes \(2h+8>3h-6\) true is \(h=13\).
Solution
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The Deep Dive
To solve the inequality \( 2h + 8 > 3h - 6 \), we start by isolating \( h \). First, we can subtract \( 2h \) from both sides: \[ 8 > h - 6. \] Next, we add \( 6 \) to both sides of the inequality: \[ 14 > h. \] This simplifies to: \[ h < 14. \] The smallest integer that makes this inequality true is \( 13 \).
