Question:

What is the least integer \( n \) such that \( 2n<1001 \)?

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When dealing with inequalities, solving for the variable and rounding appropriately can help identify the least or greatest integer solution.
Updated On: Sep 30, 2025
  • 10
  • 11
  • 500
  • 501
  • There is no such least value.
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The Correct Option is D

Solution and Explanation

We are given the inequality \( 2n<1001 \). To find the smallest integer \( n \), we divide both sides of the inequality by 2: \[ n<\frac{1001}{2} = 500.5 \] Thus, the smallest integer \( n \) such that \( 2n<1001 \) is \( n = 501 \).
Final Answer: \[ \boxed{501} \]
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