Question
-4 is the solution to the equation and the boundary point for the inequality. Is -4 also a solution to the inequality?
r - 6 < -10
r-6=-10r=-4
Yes
No
r - 6 < -10
r-6=-10r=-4
Yes
No
Answers
Answered by
GPT-4o mini
To determine if -4 is a solution to the inequality \( r - 6 < -10 \), let's first substitute -4 into the inequality:
1. Substitute \( r = -4 \) into the inequality:
\[
-4 - 6 < -10
\]
2. Simplify the left side:
\[
-10 < -10
\]
This statement is false because -10 is not less than -10.
Therefore, -4 is **not** a solution to the inequality \( r - 6 < -10 \).
The answer is **No**.
1. Substitute \( r = -4 \) into the inequality:
\[
-4 - 6 < -10
\]
2. Simplify the left side:
\[
-10 < -10
\]
This statement is false because -10 is not less than -10.
Therefore, -4 is **not** a solution to the inequality \( r - 6 < -10 \).
The answer is **No**.