Question
Solve the inequality below. 7d+32<9d Write your solution with the variable first.
Ask by Bolton Goodwin.
Jan 26,2025 11:45
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( d > 16 \)
Solution
To solve the inequality:
\[ 7d + 32 < 9d \]
**Step 1:** Subtract \(7d\) from both sides to isolate the terms with \(d\):
\[ 32 < 9d - 7d \]
\[ 32 < 2d \]
**Step 2:** Divide both sides by \(2\) to solve for \(d\):
\[ \frac{32}{2} < d \]
\[ 16 < d \]
**Final Solution:**
\[ d > 16 \]
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Simplify this solution Extra Insights
To solve the inequality \( 7d + 32 < 9d \), we'll start by isolating the variable \( d \). First, subtract \( 7d \) from both sides:
\[ 32 < 9d - 7d \]
This simplifies to:
\[ 32 < 2d \]
Now, to isolate \( d \), divide both sides by 2:
\[ \frac{32}{2} < d \]
So we have:
\[ 16 < d \]
Written in the standard form, the solution is:
\[ d > 16 \]
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