Is it possible to prove this set inequality given the constraints?

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SUMMARY

The discussion centers on proving a set inequality using specific set identities and theorem 6.2.3. One participant expresses skepticism about the possibility of proving the inequality, while another confirms that it can be proven, successfully completing the proof in 19 steps. The conversation highlights the importance of understanding set identities and the application of theorem 6.2.3 in resolving such inequalities.

PREREQUISITES
  • Familiarity with set theory concepts
  • Understanding of set identities
  • Knowledge of theorem 6.2.3
  • Basic proof techniques in mathematics
NEXT STEPS
  • Study set theory and its fundamental concepts
  • Review set identities and their applications
  • Examine theorem 6.2.3 in detail
  • Practice constructing mathematical proofs
USEFUL FOR

Students of mathematics, particularly those studying set theory, and anyone interested in mastering proof techniques related to set inequalities.

ainster31
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Homework Statement



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Homework Equations



I have to use these set identities:

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The Attempt at a Solution



Pretty sure this is impossible since it's an inequality.
 
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ainster31 said:
Pretty sure this is impossible since it's an inequality.
I thunk you can convert the inequality in two equalities with the right set and theorem 6.2.3.
 
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mfb said:
I thunk you can convert the inequality in two equalities with the right set and theorem 6.2.3.

Nice, I proved it using this and it only took 19 steps.
 
Last edited:

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