Let (2) be the number of prime numbers in the range from 2 to x. Tπ Select the pair of inequalities that are both true. O T(1000) ≤ (10000) T(1000) 1000 O T(10000) 10000 T(1000) ≤ (10000) T(1000) 1000 TT (10000) 10000 T(1000) ≥T(10000) π(10000) T(1000) 1000 10000 π(1000) ≥ π(10000) T(1000) 1000 π(10000) 10000
Let (2) be the number of prime numbers in the range from 2 to x. Tπ Select the pair of inequalities that are both true. O T(1000) ≤ (10000) T(1000) 1000 O T(10000) 10000 T(1000) ≤ (10000) T(1000) 1000 TT (10000) 10000 T(1000) ≥T(10000) π(10000) T(1000) 1000 10000 π(1000) ≥ π(10000) T(1000) 1000 π(10000) 10000
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Discrete Math
![Let \(\pi(x)\) be the number of prime numbers in the range from 2 to \(x\). Select the pair of inequalities that are both true.
1.
\[
\pi(1000) \leq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \leq \frac{\pi(10000)}{10000}
\]
2.
\[
\pi(1000) \leq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \geq \frac{\pi(10000)}{10000}
\]
3.
\[
\pi(1000) \geq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \leq \frac{\pi(10000)}{10000}
\]
4.
\[
\pi(1000) \geq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \geq \frac{\pi(10000)}{10000}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa79c18d0-6a0e-4a38-9496-04f82bd62d69%2F3dff9730-601f-448d-9819-aacbe050b758%2Fxcdad7k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \(\pi(x)\) be the number of prime numbers in the range from 2 to \(x\). Select the pair of inequalities that are both true.
1.
\[
\pi(1000) \leq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \leq \frac{\pi(10000)}{10000}
\]
2.
\[
\pi(1000) \leq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \geq \frac{\pi(10000)}{10000}
\]
3.
\[
\pi(1000) \geq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \leq \frac{\pi(10000)}{10000}
\]
4.
\[
\pi(1000) \geq \pi(10000)
\]
\[
\frac{\pi(1000)}{1000} \geq \frac{\pi(10000)}{10000}
\]
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