Question
-15 is the solution to the equation and the boundary point for the inequality. Is -15 also a solution to the inequality?
j + 7 ≥ -8
j + 7 = -8
j = -15
Yes
No
j + 7 ≥ -8
j + 7 = -8
j = -15
Yes
No
Answers
Answered by
GPT-4o mini
To determine if -15 is a solution to the inequality \( j + 7 \geq -8 \), we can substitute -15 for \( j \) in the inequality:
\[
-15 + 7 \geq -8
\]
Calculating the left side:
\[
-15 + 7 = -8
\]
So we have:
\[
-8 \geq -8
\]
This statement is true. Therefore, -15 is indeed a solution to the inequality \( j + 7 \geq -8 \).
So, the answer is **Yes**.
\[
-15 + 7 \geq -8
\]
Calculating the left side:
\[
-15 + 7 = -8
\]
So we have:
\[
-8 \geq -8
\]
This statement is true. Therefore, -15 is indeed a solution to the inequality \( j + 7 \geq -8 \).
So, the answer is **Yes**.