Respuesta :

Answer:

We conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

  • [tex]x+y>0[/tex]

Step-by-step explanation:

Let us check the inequality

[tex]x+y > 0[/tex]

Given the ordered pairs

  • (3, 7)
  • (-2, 3)

Let us check (3, 7) to determine if [tex]x+y > 0[/tex] is a solution or not

[tex]x+y > 0[/tex]

[tex]3+7 > 0[/tex]

[tex]10 > 0[/tex]

Thus, (3, 7) satisfies the inequality [tex]x+y > 0[/tex]

Now, let us check (-2, 3) to determine if [tex]x+y > 0[/tex] is a solution or not

[tex]x+y > 0[/tex]

-2 + 3 > 0

1 > 0

Thus,  (-2, 3) satisfies the inequality [tex]x+y > 0[/tex]

Therefore, we conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

  • [tex]x+y>0[/tex]