Question

Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

Answer 1

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Answer:  $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given:  $y \le-3x + 1$

Find:  $\textsf{Determine if (1, 1) is a solution of the inequality}$

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

• $y \le-3x + 1$

• $1 \le-3(1) + 1$

Simplify

• $1 \le-3 + 1$

• $1 \le-2$

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.