Answer:
(0,-2) = No
(-5,0) = Yes
(8,0) = Yes
(-9,-6) = No
Step-by-step explanation:
It says "solution to y = 0" so then look at the y-axis which is the second number in parenthesis.
Ex: (0, -2), y is -2 and x is 0.
Just make sure the second number is equal to 0, if not, then that is not the solution.
Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
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