Question

6. Which of the following represent the graph of linear inequality in two variables x + y < 5?
C.
B.
D.
7. Which is the correct inequality for the shaded region?
A y = -x - 2 2
B.y > -x - 2
C. x < -x + 2​

Answer 1

Given : linear inequality in two variables x + y < 5

To Find  : Which graph represent the same

Solution:

x + y <  5

x = 0 , y = 0

=> 0 + 0 = 0 < 5

Hence origin satisfies  and is on left side of line

Hence A &   C look matching this

But C has solid line which means it satisfy  x+ y = 5 also

Hence C shows  x + y ≤ 5  

But inequality is x + y < 5

Hence A is the correct graph

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Answer 2

Answer:

Letter D is the correct answer guys believe me