Question

Which ordered pair is in the solution set of the system of linear inequalities? y >3/2 x – 1 y <3/2 x – 1 (–5, 2) (2, 2) (5, 2) no solution

Answer 1

answer is D...............

Answer 2

No solution

Option 4 is correct

Explanation:

Given: The system of inequality

`y>(3)/(2)x-1`

`y<(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>(3)/(2)(-5)-1`
`2<(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>(3)/(2)(2)-1`
`2<(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>(3)/(2)(5)-1`
`2<(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.