Question

You solved the associated equation for -3x ≤ -15 and found that the boundary point for this inequality is x = 5. Now, you are trying to figure out if the boundary point of x = 5 is included in solutions to the inequality. Is 5 also a solution to the inequality?
-3x ≤ -15

-3x = -15

x = 5

Yes

No

Answer 1

To determine if the boundary point \( x = 5 \) is included in the solutions to the inequality \( -3x \leq -15 \), we can substitute \( x = 5 \) back into the original inequality.

Let's check:

\[
-3(5) \leq -15 \\
-15 \leq -15
\]

This statement is true. Since \( 5 \) satisfies the inequality \( -3x \leq -15 \), \( x = 5 \) is included in the solution set.

So, the answer is **Yes**.