Cards in this guide (27)
In logical mathematics there are two examples I present first Roses are flowerssecond Red roses are flowers what do you cll the first and second statement
the first is "all statement" and the second is " existential
statement"
True or False You can rely solely upon induction to prove that your conclusion is correct
Which of the following is the converse of the statement If it your birthday then it is September
if its September its your birthday
What is the converse of the statement If it is snowing then it is your birthday
The converse of the statement 'If it is snowing, then it is your
birthday is 'If it is my birthday, then it is snowing.'
Is it true that if you took an if-then statement inserted a not in each clause and reversed the clauses the new statement would also be true
If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,
If a graph passes the vertical line test, then it is a graph of a function. (True)
If a graph is not a graph of a function, then it will not pass the vertical line test. (True)
Yes, but only if the original if-then was true.
What is the converse of the statement if it is summer then its warm outside
The converse of the statement "If it is summer, then it is warm
outside' would be if it is warm outside then it is summer.
How does biconditional statement different from a conditional statement
a condtional statement may be true or false but only in one
direction
a biconditional statement is true in both directions
Which of the following is the inverse of the statement If you do your homework then it will snow
If you do not do your homework then it will not snow.
If I do not do my homework, then it will not snow.
What best describes the meaning of the term theorem
A conclusion provided by deductive reasoning
In geometry you can use deductive rules to
In geometry, deductive rules can be used to prove
conjectures.
What term best describes a mathematical statement of the form if A then B
A mathematical statement of the form if A then B would be a
conditional statement.
Is most likely the next step in the series
After stating a hypothesis, what is the next step that a physicist is most likely to take in answering a question?A.Planning and performing an experiment to answer the question
Which term best describes a proof in which you assume the opposite of what you want to prove
The term that best describes a proof in which you assume the
opposite of what you want to prove is 'indirect proof'.
True of false in a two-column proof the left column states your reasons
In a two-column proof, it is true that the left column states
your reasons.
What can you determine when you use deduction and start and start from a given set of rules and conditions
Which term best describes a mathematical statement of the form shown below if athen b
The second statement is the what of the first.
Choose the true biconditional statement that can be formed from the conditional statement If the area of a square is 25 square meters then the side length of the square is 5 meters and its converse.
The area of a square is 25 square meters if and only if the side length of the square is 5 meters
True or false In deductive thinking you start with a given set of rules and conditions and determine what must be true as a consequenceAsk us anything
True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true
True. In that case, each of the statements is said to be the
contrapositive of the other.
Which of the diagrams below represents the statement If it is a square then it is a quadrilateral
What are accepted without proof in a logical system Check all that apply A Postulates B Theorems C Axioms D Corollaries
When you start from a given set rules conditions and determine what must be true you are using reasoning
In induction you look for a pattern and then form an educated guess
Which of the diagrams below represents the statement If it is an triangle then it has three vertices
Figure A
three vertices-> triangle
In geometry you can use deductive rules
In geometry, deductive rules can be used to prove
conjectures.
True or false if you took a true “if-then” statement and inserted a not in each clause, the new statement would also be true
