Consider the following sets: A = {x €NIX >0 AxS 100 A x mod 2 = 0 } B = {X€NIX>0Axs 100 A x mod 4 = 0} C = {x €NIX>0Axs 50} 1. What are the 3 smallest elements in A? 2. What are the 3 largest elements in B? Note that JAJ = 50, IB| = 25, |C| = 50, JA N BỊ = 25, JA N C| = 25, |B nc = 12, JA N BN C| = 12. 3. Use Inclusion-Exclusion to compute JA U CI. Show you work.

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following sets:
A = {XENIX> 0 Axs 100 Ax mod 2 = 0}
B = {X€NIX> 0 Axs 100 Ax mod 4 = 0}
C = {X€NIX >0Ax< 50 }
1. What are the 3 smallest elements in A?
2. What are the 3 largest elements in B?
Note that JA| = 50, IB| = 25, JC| = 50, JA N BỊ = 25, JA N C| = 25, IB N C| = 12, JA N BN
C| = 12.
3. Use Inclusion-Exclusion to compute JA U CJ. Show you work.
4. Use Inclusion-Exclusion to compute |(A - B) U ((B - C) - A)|. Show your work
Transcribed Image Text:Consider the following sets: A = {XENIX> 0 Axs 100 Ax mod 2 = 0} B = {X€NIX> 0 Axs 100 Ax mod 4 = 0} C = {X€NIX >0Ax< 50 } 1. What are the 3 smallest elements in A? 2. What are the 3 largest elements in B? Note that JA| = 50, IB| = 25, JC| = 50, JA N BỊ = 25, JA N C| = 25, IB N C| = 12, JA N BN C| = 12. 3. Use Inclusion-Exclusion to compute JA U CJ. Show you work. 4. Use Inclusion-Exclusion to compute |(A - B) U ((B - C) - A)|. Show your work
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