Question
Is k = 7 a solution to the inequality below?
31 >
77
k
31 >
77
k
Answers
Answered by
GPT-4o mini
To check if \( k = 7 \) is a solution to the inequality \( 31 > \frac{77}{k} \), we first substitute \( k = 7 \) into the inequality:
\[
31 > \frac{77}{7}
\]
Now, calculate \( \frac{77}{7} \):
\[
\frac{77}{7} = 11
\]
Now, the inequality becomes:
\[
31 > 11
\]
This statement is true. Therefore, \( k = 7 \) is indeed a solution to the inequality.
\[
31 > \frac{77}{7}
\]
Now, calculate \( \frac{77}{7} \):
\[
\frac{77}{7} = 11
\]
Now, the inequality becomes:
\[
31 > 11
\]
This statement is true. Therefore, \( k = 7 \) is indeed a solution to the inequality.