Does the point(1, 9)satisfy the inequality y > 7x + 1?

Answer 1

To determine if the point (1, 9) satisfies the inequality \( y > 7x + 1 \), we need to substitute \( x = 1 \) and \( y = 9 \) into the inequality.

First, calculate \( 7x + 1 \) when \( x = 1 \):

\[ 7(1) + 1 = 7 + 1 = 8 \]

Now, we need to check the inequality \( 9 > 8 \):

Since \( 9 \) is indeed greater than \( 8 \), the point (1, 9) satisfies the inequality \( y > 7x + 1 \).