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.
p divided by q.
The sum of p and q means (p+q). The difference of p and q means (p-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.
1)p->q 2)not p or q 3)p 4)not p and p or q 5)contrudiction or q 6)q
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.
P! / q!(p-q)!
p divided by q.
It means the statement P implies Q.
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
The sum of p and q means (p+q). The difference of p and q means (p-q).
q + p
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 = 50 of q then q is 2% of p.
If you mean, (by rational form), in the form "p/q", let p= -2 and q = 1
If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)
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.
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.