Does(1, 2) make the inequality 5x + 7y > 19true?

Answer 1

To determine if the point (1, 2) makes the inequality \( 5x + 7y > 19 \) true, we can substitute \( x = 1 \) and \( y = 2 \) into the inequality.

Substituting the values:

\[ 5(1) + 7(2) > 19 \]

Calculating the left side:

\[ 5 + 14 > 19 \]

This simplifies to:

\[ 19 > 19 \]

The statement \( 19 > 19 \) is not true (it is equal).

Therefore, the point (1, 2) does not make the inequality \( 5x + 7y > 19 \) true.