If someone ran 14.6 miles from their house and then they are now 9.8 miles from their house and finally they are 5.3 miles away how far is their house

10.1 miles far is their house.

Step-by-step explanation:

Given:

If someone ran 14.6 miles from their house and then they are now 9.8 miles from their house and finally they are 5.3 miles away.

Now, to find the distance is far from their house.

14.6 miles distance they ran from their house.

So, they are far from house =

Then, 9.8 miles they are from their house.

So, they are far from house =

And, finally 5.3 miles away from their house.

So, now they are far from house =

Therefore, 10.1 miles far is their house.

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.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right