Name all sets of real to which each numbers belongs 2/3?

Natural - Natural numbers include only positive whole numbers beginning with 1.

Ex. 1, 2, 3, 4, 5

Whole - Whole numbers include all Natural Numbers and 0.

Ex. 0, 1, 2, 3, 4, 5

Integer - All Whole and Natural Numbers, and negative non-decimal numbers.

Ex. -2, -1, 0, 1, 2, 3

Rational - All Natural and Whole Numbers and Integers.  Also included all repeating decimals and terminating decimals. (No never-ending, no pattern decimals.)

Ex. 2/3, -1.5, 1, 2, -8...

Real - All Natural and Whole Numbers, Integers, and Rational Numbers.

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.