Mathematics

The key here is understanding absolute value as distance, then applying the floor function. Start by finding how far $x$ is from $1.7$ on the number line—that's what $|x - 1.7|$ measures. Once you have that distance as a decimal, the floor function simply drops everything after the decimal point, giving you the greatest integer less than or equal to that value.

The key here is understanding absolute value as distance, then applying the floor function. Start by finding how far $x$ is from $1.7$ on the number line—that's what $|x - 1.7|$ measures. Once you have that distance as a decimal, the floor function simply drops everything after the decimal point, giving you the greatest integer less than or equal to that value.