There are seven numbers in this list: $$
0.123, {}
-\!0.123, {}
0.112233, {}
0.13, {}
-\!0.0123, {}
0.1223, {}
0.125
$$
Ashley rewrites the seven numbers in order from least to greatest, then circles the second and sixth numbers in this ordering. What is the sum of the two numbers she circles? Express your answer as a decimal.

The region represents the solution to the given system is region iv.

Step-by-step explanation:

Given : system of linear equation  y = –3x + 5 and y =  0.5x – 1

We have to find the  region that represents the solution to the system.

Consider the given system  

y = –3x + 5 .....(1)

y =  0.5x – 1    ..........(2)

Multiply (2) by 10, we have,

10y = 5x - 10  ....(3)

Multiply equation (1) by 10, we have,

10y = –30x + 50 ..........(4)

Subtract (3) and (4) , we have,

10y - 10y = –30x + 50 - ( 5x - 10 )

Simplify, we have,

0 = –30x + 50 - 5x + 10  

35x = 60

x = (approx)

Put x =  in (3) , we get,

10y = 5 - 10  

Thus, point of solution is (1.71, -0.143)

Since,  (1.71, -0.143) lies in Fourth quadrant.

So the region represents the solution to the given system is region iv.