Answer:
False
Step-by-step explanation:
If this number is larger than 6, then its square is larger than 36.
If x > 6, then x² > 36
The number is not larger than 6.therefore Its square is not larger than 36.
x ≤ 6; therefore, x² ≤ 36
-7 is < 6; however -7² > 36 as -7² = 49
That is an isosceles right triangle. (Also known as a 45 45 90 triangle).
<u>Answer:</u>
The correct answer option is: Each x value has one and only one y value.
<u>Step-by-step explanation:</u>
A relationship from a set of inputs to a set of outputs where each input has exactly one corresponding output value is said to be a function.
Here, we are given 
which happens to be a function as no x value is repeated and there is only one corresponding y value to it.
Therefore, option c is the correct answer.
Answer: Hello mate!
we know that p(x,y) means "Student x has taken class y"
and the used symbols are:
∃: this means "existence", you use this symbol to say that there exists at least one object that makes true the sentence.
∀: this means "for all", you use this symbol to say that the sentence is true for all the elements, then:
a) ∃x∃yP (x, y)
"exist at least one student x, that took at least one class y"
b) ∃x∀yP (x, y)
"exist at least one student x, that took all the classes y"
c) ∀x∃yP (x, y)
"every student x, took at least one class y"
d) ∃y∀xP (x, y)
"exist at least one class y, that has been taken by all the students x"
e) ∀y∃xP (x, y)
"for every class y, there is at least one student x that took the class"
f) ∀x∀yP (x, y)
"all the students x took all the classes y"
