Question
Doesthepoint(3, 2)satisfytheinequalityy ≥ 3x + 9? yes no Submit
Answers
GPT-4o mini
To determine whether the point (3, 2) satisfies the inequality \( y \geq 3x + 9 \), we can substitute the coordinates of the point into the inequality.
1. Replace \( x \) with 3 and \( y \) with 2 in the inequality:
\[
2 \geq 3(3) + 9
\]
2. Calculate the right side:
\[
3(3) + 9 = 9 + 9 = 18
\]
3. Now we rewrite the inequality:
\[
2 \geq 18
\]
This inequality is false.
Therefore, the point (3, 2) does **not** satisfy the inequality \( y \geq 3x + 9 \). The answer is **no**.
1. Replace \( x \) with 3 and \( y \) with 2 in the inequality:
\[
2 \geq 3(3) + 9
\]
2. Calculate the right side:
\[
3(3) + 9 = 9 + 9 = 18
\]
3. Now we rewrite the inequality:
\[
2 \geq 18
\]
This inequality is false.
Therefore, the point (3, 2) does **not** satisfy the inequality \( y \geq 3x + 9 \). The answer is **no**.