Question

Doesthepoint(–6, –8)satisfytheinequality5x + 4y < –20?
question

key idea
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Questions
answered

Answer 1

To determine if the point \((-6, -8)\) satisfies the inequality \(5x + 4y < -20\), we can substitute \(x = -6\) and \(y = -8\) into the inequality and check if it holds true. Here’s how to do it step by step:

### Key Idea
We will substitute the values of \(x\) and \(y\) into the inequality and see if the resulting statement is true.

### Solution
1. Start with the inequality:
\[
5x + 4y < -20
\]

2. Substitute \(x = -6\) and \(y = -8\):
\[
5(-6) + 4(-8) < -20
\]

3. Calculate \(5(-6)\) and \(4(-8)\):
\[
-30 + (-32) < -20
\]
\[
-30 - 32 < -20
\]
\[
-62 < -20
\]

4. Evaluate the inequality:
\(-62 < -20\) is **false**.

### Conclusion
The point \((-6, -8)\) does **not** satisfy the inequality \(5x + 4y < -20\).