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 arithmetic mean of two numbers, p and q, is calculated by adding the two numbers together and then dividing the sum by 2. Mathematically, it can be expressed as (p + q) / 2. This value represents the average of the two numbers.
The sum of p and q means (p+q). The difference of p and q means (p-q).
The expression ( p \land q ) is called the conjunction of ( p ) and ( q ). It represents the logical operation where the result is true only if both ( p ) and ( q ) are true. If either ( p ) or ( q ) is false, the conjunction ( p \land q ) is false.
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.
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 you mean, (by rational form), in the form "p/q", let p= -2 and q = 1
If p = 50 of q then q is 2% of p.
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.