Question
Doesthepoint(8, 8)satisfytheinequality18x − 16y > 16?
Answers
GPT-4o mini
To determine if the point (8, 8) satisfies the inequality \( 18x - 16y > 16 \), we can substitute \( x = 8 \) and \( y = 8 \) into the inequality.
Starting with the inequality:
\[
18x - 16y > 16
\]
Substituting in the values:
\[
18(8) - 16(8) > 16
\]
Calculating the left side:
\[
144 - 128 > 16
\]
\[
16 > 16
\]
This statement is false because \( 16 \) is not greater than \( 16 \).
Therefore, the point \( (8, 8) \) does not satisfy the inequality \( 18x - 16y > 16 \).
Starting with the inequality:
\[
18x - 16y > 16
\]
Substituting in the values:
\[
18(8) - 16(8) > 16
\]
Calculating the left side:
\[
144 - 128 > 16
\]
\[
16 > 16
\]
This statement is false because \( 16 \) is not greater than \( 16 \).
Therefore, the point \( (8, 8) \) does not satisfy the inequality \( 18x - 16y > 16 \).