In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 48, find the number of gold medals won by each.

Korea = 15

Italy = 16

France = 17

Step-by-step explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17

x=4

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.