Question

Doesthepoint(–6, –3)satisfytheinequality15x − 5y ≤ –12?

Answer 1

To determine if the point \((-6, -3)\) satisfies the inequality \(15x - 5y \leq -12\), we will substitute \(x = -6\) and \(y = -3\) into the inequality.

1. Substitute \(x\) and \(y\) into the inequality:

\[
15(-6) - 5(-3) \leq -12
\]

2. Calculate \(15(-6)\):

\[
15(-6) = -90
\]

3. Calculate \(-5(-3)\):

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

4. Combine the results:

\[
-90 + 15 = -75
\]

5. Now we compare \(-75\) with \(-12\):

\[
-75 \leq -12
\]

This statement is **false**.

Thus, the point \((-6, -3)\) does not satisfy the inequality \(15x - 5y \leq -12\).