Question

You solved the associated equation for -6q < 24 and found that the boundary point for this inequality is q = -4. Now, you are trying to figure out if the boundary point of q = -4 is included in solutions to the inequality. Is -4 also a solution to the inequality?
-6q < 24

-6q = 24

q = -4

Yes

No

Answer 1

To determine if \( q = -4 \) is a solution to the inequality \( -6q < 24 \), we need to evaluate whether the boundary point satisfies the inequality.

Let's substitute \( q = -4 \) into the inequality:

\[
-6(-4) < 24
\]

Calculating the left side:

\[
24 < 24
\]

This statement is false, as 24 is not less than 24; it is equal to 24.

Since \( q = -4 \) does not satisfy the inequality \( -6q < 24 \), it is not included in the solution set for the inequality.

So the answer is **No**.