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Write truth tables for the statement form:
~p ∧ q
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Write truth tables for the statement form:
p ∧ q
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Write truth tables for the statement form:
p v q
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Write truth tables for the statement form:
(p ^ q) v ~ r
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Use DeMorgan's laws to write negations for the statement:
Hal is a math major and Hal's sister is a computer science major.
Hal is not a math major or Hal's sister is not a computer science major.
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Use DeMorgan's laws to write negations for the statement:
-2 < x < 7
-2 ≥ x ≥ 7
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Use DeMorgan's laws to write negations for the statement:
x < 2 or x > 5
2 ≤ x ≤ 5
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Use DeMorgan's laws to write negations for the statement:
1 > x ≥ -3
1 ≤ x < -3
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Write a negation for the following statement:
If P is a square, then P is a rectangle.
P is a square P is not a rectangle.
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Write a negation for the following statement:
If n is prime, then n is odd or n is 2.
n is prime and n is neither odd nor 2.
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Write a negation for the following statement:
If Tom is Ann's father, then Jim is her uncle and Sue is her aunt.
Tom is Ann's father and either Jim is not her uncle or Sue is not her aunt.
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Write a contrapositive for the following statement:
If P is a square, then P is a rectangle.
If p is not a rectangle, then p is not a square.
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Write a contrapositive for the following statement:
If n is prime, then n is odd or n is 2.
If n is not odd and n is not 2, then n is not prime.
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Write a contrapositive for the following statement:
If Tom is Ann's father, then Jim is her uncle and Sue is her aunt.
If Jim is not her uncle and Sue is not her aunt, then Tom is not Ann's father.
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Write a converse and inverse statement for the following sentence:
If P is a square, then P is a rectangle.
- Converse: If p is a rectangle, then p is a square.
- Inverse: If p is not a square, then p is not a rectangle.
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Write a converse and inverse statement for the following sentence:
If n is prime, then n is odd or n is 2.
- Converse: If n is odd or n is 2, then n is prime.
- Inverse: If n is not prime, then n is neither odd nor 2.
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Write a converse and inverse statement for the following sentence:
If Tom is Ann's father, then Jim is her uncle and Sue is her aunt.
- Converse: If Jim is her uncle and Sue is her aunt, then Tom is Ann's father.
- Inverse: If Tom is not Ann's father, then either Jim is not her uncle or Sue is not her aunt.
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Find the Boolean Expression that corresponds to the circuit:
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Use Modus Ponens or Modus Tollens to fill in the blanks.
If logic is easy, then I am a monkey's uncle.
I am not a monkey's uncle.
∴________________________
∴ Logic is not easy
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Rewrite the following statement in the form: ∀ ___________ x, ___________"
All dinosaurs are extinct
∀ dinosaurs x, x is extinct
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