Does The Point(7, 7)satisfy the inequality 9x + 2y ≤ 4?

Answer 1

To determine if the point \((7, 7)\) satisfies the inequality \(9x + 2y \leq 4\), we can substitute \(x = 7\) and \(y = 7\) into the inequality.

Substituting the values:

\[ 9(7) + 2(7) \leq 4 \]

Calculating the left side:

\[ 63 + 14 = 77 \]

Now we compare \(77\) with \(4\):

\[ 77 \leq 4 \]

This statement is false.

Therefore, the point \((7, 7)\) does not satisfy the inequality \(9x + 2y \leq 4\).