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Prove p to (q to r) -= (p wedge q) to r ...

Prove `p to (q to r) -= (p wedge q) to r` without using truth table.

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PREMIERS PUBLISHERS-DISCRETE MATHEMATICS-Solution To Exercise 12.2
  1. Which one of the following sentences is a proposition? (i) 4+7=12 ...

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  2. Write the converse, inverse, and contrapositive of each of the followi...

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  3. Write the converse, inverse, and contrapositive of each of the followi...

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  4. Construct the truth table for the following statements. -q vv -q

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  5. Construct the truth table for the following statements. -(p wedge -q...

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  6. Construct the truth table for the following statements. (p vv q) vv ...

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  7. Construct the truth table for the following statements. (-p to r) vv...

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  8. Verify whether the following compound propositions are tautologies or ...

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  9. Verify whether the following compound propositions are tautologies or ...

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  10. Verify whether the following compound propositions are tautologies or ...

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  11. Verify whether the following compound propositions are tautologies or ...

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  12. Show that (i) ~(p wedge q) -= ~p vee ~q (ii) ~(p to q) -= p wedge~q.

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  13. Show that (i) ~(p wedge q) -= ~p vee ~q (ii) ~(p to q) -= p wedge~q.

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  14. Prove that Q to P -= P to - Q

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  15. Show that p to q and q to p are not equivalent.

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  16. Show that -(p leftrightarrow q) -= p leftrightarrow -q.

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  17. Check whether the statement p to (q to p) is a tautology or a contradi...

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  18. Using truth table check whether the statements ~(p vee q) vee (~p wedg...

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  19. Prove p to (q to r) -= (p wedge q) to r without using truth table.

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  20. Prove that p to (~q vee r) -= ~p vee (~q vee r) using truth table.

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