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If P 50 of Q and Q 50 of R then P Q R?
If P is 50% of Q, this means that P is half the value of Q. Similarly, if Q is 50% of R, then Q is half the value of R. Therefore, P is 25% of R, as it is 50% of Q, which is itself 50% of R. Thus, we can conclude that P is less than both Q and R.
Which term best describes the statement if p q and q r the p r?
The statement "if p, then q; and if q, then r; therefore, if p, then r" describes the logical reasoning known as the transitive property. More formally, it can be expressed in symbolic logic as "p → q, q → r, therefore p → r." This is a fundamental concept in logic that illustrates how relationships can be inferred through a chain of implications.
L is not as tall as P or R but is taller than S and Q Q being shorter than R S is shorter than R who is shorter than P who is taller than Q Who among P Q R and S is the shortest?
The answer is Q.
Which term best describes the statement If p q and q r then p r?
The statement "If p implies q and q implies r, then p implies r" is best described as the transitive property of implications in logic. This principle is fundamental in propositional logic and can be expressed symbolically as ( (p \rightarrow q) \land (q \rightarrow r) \rightarrow (p \rightarrow r) ). It highlights how the relationship between propositions can be extended through a chain of implications.
If p q and q r then p r.?
Unfortunately, the browser used for posting questions is hopelessly inadequate for mathematics: it strips away most symbols. All that we can see is "If p q and q r then p r.?". There is no operator between the variables. Some operators are transitive, others are not. In the case of the operator "is not equal to", the answer is that it depends. In the case of "is the parent of" the answer is no.
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
If p q and q r what is the relationship between the values p and r?
Ifp < q and q < r, what is the relationship between the values p and r? ________________p
If P 50 of Q and Q 50 of R then P Q R?
If P is 50% of Q, this means that P is half the value of Q. Similarly, if Q is 50% of R, then Q is half the value of R. Therefore, P is 25% of R, as it is 50% of Q, which is itself 50% of R. Thus, we can conclude that P is less than both Q and R.
How do you add and subtract rational numbers?
A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.
P varies directly as q and inversely as r?
P=q/r* * * * *The correct answer is P = k*q/r where k is the constant of proportionality.
What is P and q implies not not p or r if and only if q?
The statement "P and Q implies not not P or R if and only if Q" can be expressed in logical terms as ( (P \land Q) \implies (\neg \neg P \lor R) \iff Q ). This can be simplified, as (\neg \neg P) is equivalent to (P), leading to ( (P \land Q) \implies (P \lor R) \iff Q ). The implication essentially states that if both (P) and (Q) are true, then either (P) or (R) must also hold true, and this equivalence holds true only if (Q) is true. The overall expression reflects a relationship between the truth values of (P), (Q), and (R).
How do you add similar proper fraction?
Two fractions are similar if they have the same denominator.So if p/r and q/r are two such fractions, then p/r + q/r = (p+q)/r.
Which term best describes the statement if p q and q r the p r?
The statement "if p, then q; and if q, then r; therefore, if p, then r" describes the logical reasoning known as the transitive property. More formally, it can be expressed in symbolic logic as "p → q, q → r, therefore p → r." This is a fundamental concept in logic that illustrates how relationships can be inferred through a chain of implications.
P and q represents r p q?
tan x
L is not as tall as P or R but is taller than S and Q Q being shorter than R S is shorter than R who is shorter than P who is taller than Q Who among P Q R and S is the shortest?
The answer is Q.
What are the rules for multiplying rational numbers?
p/q * r/s = (p*r)/(q*s)
Prove that if a and b are rational numbers then a multiplied by b is a rational number?
If a is rational then there exist integers p and q such that a = p/q where q>0. Similarly, b = r/s for some integers r and s (s>0) Then a*b = p/q * r/s = (p*r)/(q*s) Now, since p, q r and s are integers, p*r and q*s are integers. Also, q and s > 0 means that q*s > 0 Thus a*b can be expressed as x/y where p and r are integers implies that x = p*r is an integer q and s are positive integers implies that y = q*s is a positive integer. That is, a*b is rational.
