Which of the following sets are discrete? check all that apply.
a. {-30,-21,-17,-4,2,3}
b. {1,2,3,4,}
c. {-8,16}
d. {20,80
e. {5,10}

Option (B) and (E) are discrete sets.

Step-by-step explanation:

Discrete Sets include the countable variable. It can be positive real numbers.

Option (A) is incorrect as it also includes negative values.

Option (B) is correct as it includes all natural numbers not included negative or decimal values.

Option (C) is incorrect as it includes -8 and it is negative.

Option (D) is incorrect as it is not the set, Set has both open and closed braces( {a} ).

Option (E) is correct as both elements are positive and not has decimals or negative values.

your answer is d 2,500

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: