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In logic, "p" and "q" are commonly used symbols to represent propositions or statements that can be either true or false. They serve as variables in logical expressions and are often used in conjunction with logical operators like "and," "or," and "not" to form more complex statements. For example, in the expression "p and q," both propositions need to be true for the overall statement to be true.
What else can I help you with?
What does p over q mean?
p divided by q.
What is the sum or difference of p and q?
The sum of p and q means (p+q). The difference of p and q means (p-q).
Is not(p and q) equal to (not p) or q?
No, the statement "not(p and q)" is not equal to "(not p) or q." According to De Morgan's laws, "not(p and q)" is equivalent to "not p or not q." This means that if either p is false or q is false (or both), the expression "not(p and q)" will be true. Therefore, the two expressions represent different logical conditions.
What is the proof of the modus ponens not by the truth table?
1)p->q 2)not p or q 3)p 4)not p and p or q 5)contrudiction or q 6)q
Is the conditional the negation of the Converse?
No, the conditional statement and its converse are not negations of each other. A conditional statement has the form "If P, then Q" (P → Q), while its converse is "If Q, then P" (Q → P). The negation of a conditional statement "If P, then Q" is "P and not Q" (P ∧ ¬Q), which does not relate to the converse directly.
What does p over q mean in algebra?
P! / q!(p-q)!
What does p over q mean?
p divided by q.
What does the statement p arrow q mean?
It means the statement P implies Q.
If p q and q r then p r. Converse statement B.A syllogism C.Contrapositive statement D.Inverse statement?
Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r
What is the sum or difference of p and q?
The sum of p and q means (p+q). The difference of p and q means (p-q).
What is q²-p² divided by q-p?
q + p
What is the truth table for p arrow q?
Not sure I can do a table here but: P True, Q True then P -> Q True P True, Q False then P -> Q False P False, Q True then P -> Q True P False, Q False then P -> Q True It is the same as not(P) OR Q
If p is 50 of q then what percent of p is q?
If p = 50 of q then q is 2% of p.
How do you write a -2 in rational form?
If you mean, (by rational form), in the form "p/q", let p= -2 and q = 1
How do you write the negation of if and then?
If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)
What does rational mean in math?
any number is called rational if it can be written in the form p/q where p and q are integers and q is not zero. In the case q is 1, we have the integers themselves. In the case where p/q can not be further simplified and q is not 1 or 0, then it is what many people call a fraction.
If p is 40 percent of q then q is what percent of p?
For this problem, assume q is 100. So, if p is 40 percent, that would mean 40/100 which equals .4 or 40 percent. So, 100/40 equal 2.5 or 250 percent. If p is 40 percent of q, then q is 250 percent of p.
