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Answer :

The options that represent solutions to the given inequality are:

  • A (7,67)
  • C (5,49)

What is the inequality?

The inequality is:

[tex]y > 2 + 9x[/tex]

Item a:

x = 7, hence, the solution is:

[tex]y > 2 + 9(7)[/tex]

[tex]y > 67[/tex]

67 > 65, hence it is a solution.

Item b:

x = 8, hence, the solution is:

[tex]y > 2 + 9(8)[/tex]

[tex]y > 74[/tex]

74 = 74, hence it is not a solution.

Item c:

x = 5, hence, the solution is:

[tex]y > 2 + 9(5)[/tex]

[tex]y > 47[/tex]

49 > 47, hence it is a solution.

Item d:

x = 4, hence, the solution is:

[tex]y > 2 + 9(4)[/tex]

[tex]y > 38[/tex]

37 < 38, hence it is not a solution.

You can learn more about inequalities at https://brainly.com/question/25235995