Question:
It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in \(m\) minutes?
It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in \(m\) minutes?
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Phrases “at least” \(\rightarrow \geq\), and “no more than” \(\rightarrow \leq\). Combine for range inequalities.
Updated On: Oct 3, 2025
- \(m + 35>5\)
- \(m - 35<5\)
- \(m + 35<5\)
- \(m - 35>5\)
- \(30 \leq m \leq 40\)
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Solution and Explanation
Step 1: Translate statement into inequality.
“At least 30 minutes” \(\implies m \geq 30\).
“No more than 40 minutes” \(\implies m \leq 40\).
Step 2: Combine.
\[ 30 \leq m \leq 40 \] Step 3: Check given options.
None of the provided answer options represent this inequality correctly. Final Answer:
\[ \boxed{30 \leq m \leq 40} \]
“At least 30 minutes” \(\implies m \geq 30\).
“No more than 40 minutes” \(\implies m \leq 40\).
Step 2: Combine.
\[ 30 \leq m \leq 40 \] Step 3: Check given options.
None of the provided answer options represent this inequality correctly. Final Answer:
\[ \boxed{30 \leq m \leq 40} \]
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