Cards in this guide (20)
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"
If the statement If the sun is shining then it's not raining is assumed to be true is its reverse If it's not raining then the sun must be shining also always true
True or False You can rely solely upon induction to prove that your conclusion is correct
If the statement If it is midnight then the sun is not shining is assumed to be true is its negation If it is not midnight then the sun is shining also always true
You can rely solely upon deduction 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
If the pattern below follows the rule Starting with ten every consecutive line has a number one less than the previous line how many marbles must be in the tenth line
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.
The Declaration of Independence could best be described as a defining statement of American
The Declaration of Independence could be described in may ways. There is no "best" one.
It was a statement of American existence
It was a statement of American identity
It was, and still is a statement of American hope for the country and for the people.
And, of course, it can be described as a statement of American independence - the very reason for the existence of the document.
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.
True or false In deductive thinking you formulate general ideas and rules based on your experience and observations
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.
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.
What can you determine when you use deduction and start and start from a given set of rules and conditions
The second statement is the what of the first.
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
In deductive reasoning you start from a set of rules and conditions to determine what must be true.
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.
When you start from a given set rules conditions and determine what must be true you are using reasoning