Answer:
No solution
Option 4 is correct
Step-by-step explanation:
Given: The system of inequality
\(y>\dfrac{3}{2}x-1\)
\(y<\dfrac{3}{2}x-1\)
We need to choose correct option.
Option 1: (-5,2)
Put x=-5 and y=2
Equation 1 Equation 2
\(2>\dfrac{3}{2}(-5)-1\) \(2<\dfrac{3}{2}(-5)-1\)
\(2>-8.5\) \(2<-8.5\)
TRUE FALSE
Option 2: (2,2)
Put x=2 and y=2
Equation 1 Equation 2
\(2>\dfrac{3}{2}(2)-1\) \(2<\dfrac{3}{2}(2)-1\)
\(2>2\) \(2<2\)
FALSE FALSE
Option 3: (5,2)
Put x=-5 and y=2
Equation 1 Equation 2
\(2>\dfrac{3}{2}(5)-1\) \(2<\dfrac{3}{2}(5)-1\)
\(2>6.5\) \(2<6.5\)
FALSE TRUE
Option 1, 2 and 3 are incorrect because both equation must be true for solution.
Hence, Option 4 is correct no solution.
