Question
Doesthepoint(8, 2)satisfytheinequality3x − 14y ≤ –4?
Answers
GPT-4o mini
To determine if the point (8, 2) satisfies the inequality \( 3x - 14y \leq -4 \), we can substitute the \( x \) and \( y \) values from the point into the inequality and see if it holds true.
1. Substitute \( x = 8 \) and \( y = 2 \) into the inequality:
\[
3(8) - 14(2) \leq -4
\]
2. Calculate:
\[
24 - 28 \leq -4
\]
\[
-4 \leq -4
\]
Since \( -4 \) is equal to \( -4 \), we find that the inequality holds true.
Therefore, the point (8, 2) **satisfies** the inequality \( 3x - 14y \leq -4 \).
1. Substitute \( x = 8 \) and \( y = 2 \) into the inequality:
\[
3(8) - 14(2) \leq -4
\]
2. Calculate:
\[
24 - 28 \leq -4
\]
\[
-4 \leq -4
\]
Since \( -4 \) is equal to \( -4 \), we find that the inequality holds true.
Therefore, the point (8, 2) **satisfies** the inequality \( 3x - 14y \leq -4 \).