To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.
I will show you calculation for (5,-2)
plug into y>x
-2>5
which is clearly false.
plug into y<x+1
-2<5+1
or -2<6
which is also false.
hence (5,-2) is not in the solution.
Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.
Hence answer will be "No Solution from given choices".
Answer:
No ordered pair.
Step-by-step explanation:
Given: System of linear inequality
y>x
y<x + 1
We need to find out ordered pair which are solution set of system of linear inequality.
We have to check each one
Option 1: False
Ordered pair y>x Conclusion y<x+1 Conclusion Solution
(5,-2) -2>5 False -2<5+1 True No
(3,1) 1>3 False 1<3+1 True No
(-4,2) 2>-4 True 2<-4+1 False No
Option 2: False
Ordered pair y>x Conclusion y<x+1 Conclusion Solution
(5,-2) -2>5 False -2<5+1 True No
(3,-1) -1>3 False -1<3+1 True No
(4,-3) -3>4 False -3<4+1 True No
Option 3: False
Ordered pair y>x Conclusion y<x+1 Conclusion Solution
(5,-2) -2>5 False -2<5+1 True No
(3,1) 1>3 False 1<3+1 True No
(4,2) 2>4 False 2<4+1 True No
Option 4: False
Ordered pair y>x Conclusion y<x+1 Conclusion Solution
(5,-2) -2>5 False -2<5+1 True No
(-3,1) 1>-3 True 1<-3+1 False No
(4,2) 2>4 False 2<4+1 True No
No any ordered pair for system for linear equality.
