Question
You solved the associated equation for
-4f
≤ -24 and found that the boundary point for this inequality is f = 6. Now, you are trying to figure out if the boundary point of f = 6 is included in solutions to the inequality. Is 6 also a solution to the inequality?
-4f
≤ -24
-4f
= -24
f = 6
Yes
No
Enter
-4f
≤ -24 and found that the boundary point for this inequality is f = 6. Now, you are trying to figure out if the boundary point of f = 6 is included in solutions to the inequality. Is 6 also a solution to the inequality?
-4f
≤ -24
-4f
= -24
f = 6
Yes
No
Enter
Answers
GPT-4o mini
To determine if \( f = 6 \) is a solution to the inequality \( -4f \leq -24 \), we can substitute \( f = 6 \) into the inequality:
\[
-4(6) \leq -24
\]
\[
-24 \leq -24
\]
This statement is true since \(-24\) is equal to \(-24\).
Since \( f = 6 \) satisfies the inequality, the boundary point \( f = 6 \) **is** included in the solutions to the inequality \( -4f \leq -24 \).
So the answer is **Yes**.
\[
-4(6) \leq -24
\]
\[
-24 \leq -24
\]
This statement is true since \(-24\) is equal to \(-24\).
Since \( f = 6 \) satisfies the inequality, the boundary point \( f = 6 \) **is** included in the solutions to the inequality \( -4f \leq -24 \).
So the answer is **Yes**.