2 Problem 5. Let p, q, r be propositions. Without using truth tables, prove: (-r) + (p), r +9+p+q. Problem 6. Prove or disprove: Vx ER, By ER, X < y < [x] +1. 2
Problem 8. Prove that 'n € No, Ek-k2k = 2 + (n − 1)2n+1 - =
Problem 9. Let S,U be sets, with SCU. Prove that U CSUS. Problem 10. Prove or disprove: For all sets S,T, 2SCT C 29 n 27.
2 Problem 5. Let p, q, r be propositions. Without using truth tables, prove: (-r) + (p), r +9+p+q. Problem 6. Prove or d
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2 Problem 5. Let p, q, r be propositions. Without using truth tables, prove: (-r) + (p), r +9+p+q. Problem 6. Prove or d
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