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The options that represent solutions to the given inequality are:
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.
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