Question
-7 is the solution to the equation and the boundary point for the inequality. Is -7 also a solution to the inequality?
-5b ≤ 35
-5b = 35
b = -7
Yes
No
-5b ≤ 35
-5b = 35
b = -7
Yes
No
Answers
GPT-4o mini
To determine whether -7 is a solution to the inequality \(-5b \leq 35\), we will substitute \(b = -7\) into the inequality:
\[
-5(-7) \leq 35
\]
This simplifies to:
\[
35 \leq 35
\]
Since this statement is true (35 is equal to 35), -7 is indeed a solution to the inequality \(-5b \leq 35\).
Therefore, the answer is **Yes**.
\[
-5(-7) \leq 35
\]
This simplifies to:
\[
35 \leq 35
\]
Since this statement is true (35 is equal to 35), -7 is indeed a solution to the inequality \(-5b \leq 35\).
Therefore, the answer is **Yes**.