Question

Doesthepoint(–6, 9)satisfytheinequality14x + 10y ≥ 6?

Answer 1

To determine if the point \((-6, 9)\) satisfies the inequality \(14x + 10y \geq 6\), we will substitute \(x = -6\) and \(y = 9\) into the inequality.

1. Substitute the values into the inequality:
\[
14(-6) + 10(9) \geq 6
\]

2. Calculate \(14(-6)\):
\[
14(-6) = -84
\]

3. Calculate \(10(9)\):
\[
10(9) = 90
\]

4. Combine the results:
\[
-84 + 90 \geq 6
\]
\[
6 \geq 6
\]

This statement is true. Therefore, the point \((-6, 9)\) satisfies the inequality \(14x + 10y \geq 6\).