Given the system y > -2 x + y < 4 1. name an ordered pair that is a solution to this system and explain how you know that this is a solution point. 2. name an ordered pair that is not a solution to the system and explain how you know that it is not a solution. tip: you may want to look at the graph of the system. desmos is a tool that you can use to you visualize the graph.

we have

y > -2 x + y < 4

using a graph tool

see the attached figure

The shaded area is the solution of the system

Part 1) Name an ordered pair that is a solution to this system and explain how you know that this is a solution point

Let

A ( -40,20)

The point A is solution of the system because the point lie on the shaded area

Check

If the point A is solution of the system must satisfy both system inequalities

point A

x=-40

y=20

substitute

y > -2-------> 20 > -2-------> is ok

x + y < 4----> -40+20 < 4-----> -20 < 4-----> is ok

therefore

the answer Part 1) is

The point A is a solution of the system

Part 2) Name an ordered pair that is not a solution to the system and explain how you know that it is not a solution

Let

B(20,20)

The point B is not solution of the system because the point not lie on the shaded area

Check

If the point B is not solution of the system must not satisfy both system inequalities

point B

x=20

y=20

substitute

y > -2 -------> 20 > -2-------> is ok

x + y < 4---->20+20 < 4-----> 40 < 4------> is not ok

therefore

the answer part 2) is

The point B is not a solution to the system

(4p * 4p * 4p * 4p) * (4p * 4p * 4p * 4p)

Step-by-step explanation:

exponent is the number being multiplied by itself a number of times

2^4 is 2*2*2*2

3^1 is 3