Does The Point(4, 1)satisfy the inequality 14x + 10y ≤ 14?

Answer 1

To determine if the point \((4, 1)\) satisfies the inequality \(14x + 10y \leq 14\), we can substitute \(x = 4\) and \(y = 1\) into the inequality and see if the result is true.

First, substitute the values:

\[ 14(4) + 10(1) \leq 14 \]

Now, calculate the left side:

\[ 56 + 10 = 66 \]

So we have:

\[ 66 \leq 14 \]

This statement is false. Therefore, the point \((4, 1)\) does not satisfy the inequality \(14x + 10y \leq 14\).