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[DOC File]Converse, Inverse, & Contrapositive:
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Ex. p → q: If 15 is an odd number, then 15 is a prime number. ~ q → ~ p: If 15 is not a prime number, then 15 is not an odd number. *** Anytime you are asked for the . logical equivalent. of a conditional, you always use the contrapositive!!! Try these examples out: In 1 – 4, write the inverse of the statement in symbolic form. 1) p → q ...
if p then q logic

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Let p, q, and r be the propositions: p = "the flag is set," q = "I=0," r = "subroutine S is completed." Translate each of the following propositions into symbols, using the letters p. q. r and logical connectives. a) If the flag is set, then I=0. p → q. b) The flag is set and I=0 if subroutine S is not completed. ¬r → p /\ q
if not p then q

[DOC File]Use the following to answer questions 1-5:
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18. Write a proposition equivalent to p q using only p q and the connective: . Ans: p q. 19. Write a proposition equivalent to p q using only p q and the connective . Ans: (p q). 20. Prove that p q and its converse are not logically equivalent. Ans: Truth values differ when p is true and q is false. 21.
p and q statements

[DOC File]MODULE 1 - Florida State University
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If p and q are equivalent statements, then it is logically impossible to imagine a situation in which the two statements would have differing truth values. ... Then p ( q is the statement "I have a dime and I have a nickel." In general, in order for any statement of the form “p ( q” to be true, both p and q …
if then logic statements

[DOCX File]Mathematics Instructional Plan
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p. q? Use symbols . p, q, , and ~ and mathematics vocabulary to answer this question. What conclusion can you draw, using all of the following statements? ~ q. s. t ~ r. q . t. u ~ s. Journal/Writing Prompts. Draw a Venn diagram of the two statements: “No reptiles have fur” and “All snakes are reptiles.” Then, draw a logical conclusion ...
if then logic symbol

[DOC File]Conditional Statements are “if – then” statements where p ...
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The symbol for “If q, then p” is q p. If a conditional statement and its converse are true, then you have a good definition. It can also be written as a bi-conditional statement. A Bi-conditional statement is an “if and only if” statement. p q. Example-Conditional: If a polygon has 4 sides, then it is a quadrilateral.
p only if q

[DOCX File]LOGIC AND TRUTH TABLES
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Nov 20, 2013 · Thus if n = 3 then p is true and q is true. (a) Find another value of n that makes p true and q true. (b) Find a value for n that makes p false and q false. (c) Find a value for n that makes p false and q true. ... regardless the truth of its component statements. Thus, the last column in its truth table will be all T’s. A statement is a .
p and not q

[DOCX File]Home - Department of Computer Science
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The converse of “If P is a square, then P is a rectangle.” is “If P is a rectangle then P is a squares.”[1] The statements are not all true [1]as the inverse and converse are false.[bonus 1] Q10) [1] Write the following statement, “It is sufficient for John to win this frame, to win the bowling trophy” in the usual “if p then q ...
if p then q examples

[DOC File]SI202: Week 1
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But considering the contrapositive, this is the same as p q (i.e., if p then q). So, to summarize again, the following are all equivalent: if p then q. if p, q. q if p. q whenever p. p implies q . p q. if not q then not p ~ q ~ p. p only if q. p is a sufficient condition for q. q is a necessary condition for p. 16. Review . …
if p then q logic

[DOC File]Conditional Statements
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Choose the truth values for both statements from the Select truth value. dropdown menus in the Gizmo. Then click . Check. to verify your answers. With Truth value. still chosen, click the . SYMBOLIC. tab. You should see the information below at the top of the Gizmo. Are the truth values of p ( q and q ( p the same as the conditional and ...
if not p then q

If p then q statements