Question
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Tutor-Verified Answer
Answer
\( x > 12 \)
Solution
1. Distribute the \(8\) over the parentheses:
\[
-3 + 8(x-11) > 5 \quad \Longrightarrow \quad -3 + 8x - 88 > 5
\]
2. Combine like terms:
\[
8x - 91 > 5
\]
3. Add \(91\) to both sides:
\[
8x > 96
\]
4. Divide both sides by \(8\):
\[
x > 12
\]
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Simplify this solution Beyond the Answer
To solve the inequality \( -3 + 8(x - 11) > 5 \), start by distributing the 8: \[ -3 + 8x - 88 > 5 \] Combine like terms: \[ 8x - 91 > 5 \] Now, add 91 to both sides: \[ 8x > 96 \] Finally, divide by 8: \[ x > 12 \] So, the solution is \( x > 12 \).
