Natural numbers are part of every other category of number except
a. integers.
b. irrational numbers.
c. whole numbers.
d. real numbers.

By definition, we have:

In mathematics, a natural number is any of the numbers that are used to count the elements of certain sets, as well as in elementary calculation operations. They are those natural numbers that serve to count elements so they are whole.

For example:

1,2,3,4,5,6,7,8,9 ... ∞

By conventional definition it will be said that any member of the next set, ℕ = {1, 2, 3, 4, ...}, is a natural number.

Integers, whole numbers, real numbers, include natural numbers.

Natural numbers are part of every other category of number except:

B. irrational numbers.

.

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.