Answer:
3rd Option is correct.
Step-by-step explanation:
Given a graph of inequality.
We need to find inequality from given options.
From graph , Origin Point is in shaded region. Means origin will satisfy the inequality.
Inequality 1.
y > -2/3x + 1
put x = 0 , y = 0
LHS = y = 0
RHS = -2/3x + 1 = 1
LHS < RHS
Thus, This is not the inequality of graph.
Inequality 2.
y < -2/3x + 1
put x = 0 , y = 0
LHS = y = 0
RHS = -2/3x + 1 = 1
LHS < RHS
Now put x = 0 , y = 1
LHS = y = 1
RHS = -2/3x + 1 = 1
LHS = RHS
Thus, This is not the inequality of graph.
Inequality 3.
y < -3/2x + 1
put x = 0 , y = 0
LHS = y = 0
RHS = -2/3x + 1 = 1
LHS < RHS
Thus, This is the inequality of graph.
Inequality 4.
y > -3/2x + 1
put x = 0 , y = 0
LHS = y = 0
RHS = -3/2x + 1 = 1
LHS < RHS
Thus, This is not the inequality of graph.
Therefore, 3rd Option is correct.
