Question

Does(2, 1)make the inequality 5x + 6y ≥ 18true?

Answer 1

To determine if the point (2, 1) satisfies the inequality \(5x + 6y \geq 18\), we can substitute \(x = 2\) and \(y = 1\) into the inequality.

Let's do the substitution:

\[
5(2) + 6(1) \geq 18
\]

Calculating the left side:

\[
10 + 6 = 16
\]

Now we compare it to 18:

\[
16 \geq 18
\]

This statement is false. Therefore, the point (2, 1) does not make the inequality \(5x + 6y \geq 18\) true.