Download - Compound Statements
P and Q The statement p and q is true when, and only when, only p and q are true. Symbol: ^
P or Q The statement p or q is true when either p is true or q is true.
Symbol: V
P Q P and Q Q or PP Q P and Q Q or P
T T T T
T F F T
F T F T
F F F F
Exclusive or: If you choose one, you will not want the other-Example: Would you like a cup of tea or a cup of coffee?
Inclusive or: You may choose either or both of these choices.-Example: Would you like cream or sugar?
Solve and graph the solution set: |x – 3| ≤ 15
x – 3 ≤ 15 x – 3 ≥ -15x ≤ 18 x ≥ -12
-12 0 18
Solve and Graph the solution set: 7 – x > 10 or 12 ≤ 6x
7 – x > 10 12 ≤ 6x-x > 3x < 3
32
2 ≤ x
For all statements p and q:
~(p and q) Ξ ~p or ~q ~(p ^ q) Ξ ~p v ~q
~(p or q) Ξ ~p and ~q~(p v q) Ξ ~p ^ ~q
P QP Q P and Q
~(p and q)
~P ~Q ~p or ~q
T T T F F F F
T F F T F T T
F T F T T F T
F F F T T T T
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