Question
To solve the inequality, first find the boundary point. In other words, solve for the value of q that makes the associated equation true.
-6q
< 24
-6q
= 24
q =
Enter
-6q
< 24
-6q
= 24
q =
Enter
Answers
GPT-4o mini
To find the boundary point for the inequality \(-6q < 24\), we first solve the equation \(-6q = 24\).
1. Divide both sides of the equation by -6. Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality sign. However, since we are just solving an equation here, we proceed without reversing:
\[
q = \frac{24}{-6}
\]
2. Now calculate that:
\[
q = -4
\]
So the boundary point is:
\[
q = -4
\]
1. Divide both sides of the equation by -6. Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality sign. However, since we are just solving an equation here, we proceed without reversing:
\[
q = \frac{24}{-6}
\]
2. Now calculate that:
\[
q = -4
\]
So the boundary point is:
\[
q = -4
\]