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

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.