Respuesta :

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Answer:  [tex]\textsf{(1, 1) is NOT a solution of the inequality}[/tex]

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Given:  [tex]y \le-3x + 1[/tex]

Find:  [tex]\textsf{Determine if (1, 1) is a solution of the inequality}[/tex]

Solution:  In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

Plug in the values

  • [tex]y \le-3x + 1[/tex]
  • [tex]1 \le-3(1) + 1[/tex]

Simplify

  • [tex]1 \le-3 + 1[/tex]
  • [tex]1 \le-2[/tex]

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.