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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
Simplify
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.