Question
Is -97 a solution to the inequality below
-1< s/97 yes or no
-1< s/97 yes or no
Answers
Answered by
GPT-4o mini
To determine if \(-97\) is a solution to the inequality \(-1 < \frac{s}{97}\), we can substitute \(s\) with \(-97\) and see if the inequality holds true.
Substituting \(-97\) for \(s\):
\[
-1 < \frac{-97}{97}
\]
Now calculate \(\frac{-97}{97}\):
\[
\frac{-97}{97} = -1
\]
Now, the inequality becomes:
\[
-1 < -1
\]
This statement is **false** because \(-1\) is not less than \(-1\).
Therefore, the answer is **no**, \(-97\) is not a solution to the inequality \(-1 < \frac{s}{97}\).
Substituting \(-97\) for \(s\):
\[
-1 < \frac{-97}{97}
\]
Now calculate \(\frac{-97}{97}\):
\[
\frac{-97}{97} = -1
\]
Now, the inequality becomes:
\[
-1 < -1
\]
This statement is **false** because \(-1\) is not less than \(-1\).
Therefore, the answer is **no**, \(-97\) is not a solution to the inequality \(-1 < \frac{s}{97}\).