Does(7, 8)maketheinequality y < 8x + 6true?

Answer 1

To determine if the point (7, 8) satisfies the inequality \( y < 8x + 6 \), we can substitute \( x = 7 \) and \( y = 8 \) into the inequality.

1. Substitute \( x \) and \( y \): \[ 8 < 8(7) + 6 \]

2. Calculate the right side: \[ 8(7) = 56 \quad \text{and then} \quad 56 + 6 = 62 \] So, the expression becomes: \[ 8 < 62 \]

This is true. Therefore, the point (7, 8) does satisfy the inequality \( y < 8x + 6 \).