M4 Formative Questions Flashcards
If a proposition is true for all elements of the set of integers, then it is also true for all elements in the set of natural numbers
true
If the existential statement is false then the universal statement is also false
true
If the existential statement is true then the universal statement is also true
false
If a proposition is true for all elements of the set of real numbers, then it is also true for all elements in the set of whole numbers
true
Let P(x); x/x = 1
What is the truth values of ∃x, P(x), where the domain of discourse is the set of integers
true
P(x); x + 2 => x
What is the truth values of ∃x, P(x), where the domain of discourse is the set of integers?
true
Let P(x); 1*x = x
What is the truth values of ∃x, P(x), where the domain of discourse is the set of rational numbers?
true
a word or phrase which is used before a noun to indicate the amount of quantity
quantifier
if a proposition is true for all elements of the set of whole numbers, then it is also true for all elements in the set of integers
false
if a proposition is true for all elements of the set of real numbers, then it is also true for all elements in the set of integers
true
rational number hierarchy
rational number
integer
whole numbers
natural numbers
the set of all values under consideration in a given proposition
domain of discourse
if a proposition is true for all elements of the set of irrational numbers, then it is also true for all elements in the set of real numbers
false
Let P(x); x > 0
What is the truth values of ∃x, P(x), where the domain of discourse is the set of integers?
true
Let P(x); x - 5 < 5
What is the truth values of ∃x, P(x), where the domain of discourse is the set of integers?
true
