Is (3, 2) a solution to the inequality2x + 5y < 18?

Answer 1

To determine if the point (3, 2) is a solution to the inequality \(2x + 5y < 18\), we will substitute \(x = 3\) and \(y = 2\) into the inequality.

First, substitute the values:

\[ 2(3) + 5(2) < 18 \]

Now, calculate:

\[ 6 + 10 < 18 \]

This simplifies to:

\[ 16 < 18 \]

Since this statement is true, the point (3, 2) is indeed a solution to the inequality \(2x + 5y < 18\).