Question
Doesthepoint(5, 1)satisfytheinequality14x + 14y > 2?
Answers
GPT-4o mini
To determine if the point \( (5, 1) \) satisfies the inequality \( 14x + 14y > 2 \), we will substitute \( x = 5 \) and \( y = 1 \) into the inequality.
Starting with the inequality:
\[
14x + 14y > 2
\]
Substituting the values of \( x \) and \( y \):
\[
14(5) + 14(1) > 2
\]
Calculating the left side:
\[
70 + 14 > 2
\]
\[
84 > 2
\]
Since \( 84 \) is indeed greater than \( 2 \), the point \( (5, 1) \) satisfies the inequality \( 14x + 14y > 2 \).
Starting with the inequality:
\[
14x + 14y > 2
\]
Substituting the values of \( x \) and \( y \):
\[
14(5) + 14(1) > 2
\]
Calculating the left side:
\[
70 + 14 > 2
\]
\[
84 > 2
\]
Since \( 84 \) is indeed greater than \( 2 \), the point \( (5, 1) \) satisfies the inequality \( 14x + 14y > 2 \).