Questions: y > 3/2 x + 6

Solution Steps

Substitute the coordinates of the point \( (2, 5) \) into the inequality \( y > -\frac{-3}{2} x + 6 \). This gives us: \[ 5 > -\frac{-3}{2} \cdot 2 + 6 \]

Calculate the right side of the inequality: \[ -\frac{-3}{2} \cdot 2 = \frac{3}{2} \cdot 2 = 3 \] Thus, the inequality becomes: \[ 5 > 3 + 6 \]

Now simplify the right side: \[ 5 > 9 \] This statement is false, indicating that the point \( (2, 5) \) does not satisfy the inequality \( y > -\frac{-3}{2} x + 6 \).

Final Answer