Question

Does(9, –9)maketheinequalityy > –2x + 9true?

Answer 1

To determine if the point (9, -9) satisfies the inequality \( y > -2x + 9 \), we can substitute the x and y coordinates of the point into the inequality.

Given:
- \( x = 9 \)
- \( y = -9 \)

Now substitute these values into the inequality:

\[
-9 > -2(9) + 9
\]

Calculating the right side:

\[
-2(9) + 9 = -18 + 9 = -9
\]

Thus, we have:

\[
-9 > -9
\]

This statement is false because -9 is not greater than -9; they are equal.

Therefore, the inequality \( y > -2x + 9 \) is **not** true for the point (9, -9).