Question
Doesthepoint(8, 8)satisfytheinequality13x + 5y > 11?
Answers
GPT-4o mini
To determine if the point (8, 8) satisfies the inequality \( 13x + 5y > 11 \), we can substitute \( x = 8 \) and \( y = 8 \) into the inequality.
1. Substitute the values into the inequality:
\[
13(8) + 5(8) > 11
\]
2. Calculate \( 13(8) \) and \( 5(8) \):
\[
13(8) = 104
\]
\[
5(8) = 40
\]
3. Add these values together:
\[
104 + 40 = 144
\]
4. Now we check if \( 144 > 11 \):
\[
144 > 11 \text{ is true.}
\]
Since the inequality holds true, the point (8, 8) does satisfy the inequality \( 13x + 5y > 11 \).
1. Substitute the values into the inequality:
\[
13(8) + 5(8) > 11
\]
2. Calculate \( 13(8) \) and \( 5(8) \):
\[
13(8) = 104
\]
\[
5(8) = 40
\]
3. Add these values together:
\[
104 + 40 = 144
\]
4. Now we check if \( 144 > 11 \):
\[
144 > 11 \text{ is true.}
\]
Since the inequality holds true, the point (8, 8) does satisfy the inequality \( 13x + 5y > 11 \).