Write a compound statement for the conjunction p and q (p→~q) P : the sun is visible Q : the sky is overcast
If the sun is visible then the sky is not overcast
The truth table of disjunction is when (at least a true statement / both statements have the same truth value)
at least a true statement
What is the symbol used when we want to express “if and only if”?
↔ (biconditional)
What denotion do we use on truth value?
T for true and F for false
Which one is correct for biconditional (↔) truth table?
last row
How many connectives are commonly used to form compound statements? Name them.
5 - Negation, Conjunction, Disjunction, Implication, Equivalence
“Gaming is only for boys”. Negate the following statement.
Gaming is not only for boys.
Construct a truth table for ~p↔q
as compiled
What is the definition of statement?
declarative sentence or assertion that is either True or False
What idea conjunction expresses?
And
Statements that are true if and only if both statements are true is the truth table of ? ( a. Negation / b. Conditional / c. Conjunction / d. Biconditional )
c. Conjunction
The symbol for implication
arrow to the right
A truth table displays _________________
the relationship between truth values of statements
What is the symbol for disjunction?
∨
p: I get good grades q: I am happy Write the following statements symbolically. “If I don’t get good grades then I am not happy”.
~p → ~q
Write the following statements symbolically F: Yellow is a cool colour H: The number 3 is an odd number. “Yellow is not a cool colour and 3 is an odd number”
~F Λ H