Question
Does the point (3, –9) satisfy the inequality 9x + y ≤ –16?
A) Yes
B) No
A) Yes
B) No
Answers
GPT-4o mini
To determine whether the point (3, -9) satisfies the inequality \( 9x + y \leq -16 \), we need to substitute \( x = 3 \) and \( y = -9 \) into the inequality.
1. Substitute the values into the inequality:
\[
9(3) + (-9) \leq -16
\]
2. Calculate:
\[
27 - 9 \leq -16
\]
\[
18 \leq -16
\]
Now we evaluate whether the statement \( 18 \leq -16 \) is true or false. It is false.
Thus, the point (3, -9) does not satisfy the inequality.
The answer is:
**B) No**
1. Substitute the values into the inequality:
\[
9(3) + (-9) \leq -16
\]
2. Calculate:
\[
27 - 9 \leq -16
\]
\[
18 \leq -16
\]
Now we evaluate whether the statement \( 18 \leq -16 \) is true or false. It is false.
Thus, the point (3, -9) does not satisfy the inequality.
The answer is:
**B) No**