http://www.ck12.org Chapter 16. Logic and Set Theory
symbols.
- Write the negation of the sentence with symbols and write the negation of the sentence in words in a natural way.
Mike and John both ate lunch with me. - Identify the atomic statements in the above sentence and use logical connectives to rewrite the sentence with
symbols. - Write the negation of the sentence with symbols and write the negation of the sentence in words in a natural way.
Neither my brother nor my sister wants to play with me. - Identify the atomic statements in the above sentence and use logical connectives to rewrite the sentence with
symbols. - Write the negation of the sentence with symbols and write the negation of the sentence in words in a natural way.
Write negations for the following statements. - All dogs go to heaven.
- My teacher is seldom wrong.
- Everyone likes pizza.
Make truth tables for each of the following.
10.(P∧Q)∨∼Q
11.P∧(Q∨∼Q)
12.(P∨Q)∨∼R
13.(∼P∧∼Q)∨∼R - What is the simplest statement that is equivalent to #11:P∧(Q∨∼Q)?
- Use De Morgan’s Law to find a statement equivalent to the following statement:∼(Q∨∼Q)
- Use De Morgan’s Law to find a statement equivalent to the following statement:∼(P∨Q)∨∼R