A "staggered pseudo-true clue" uses the same basic logic as a regular pseudo-true clue, only this time the pseudo-true relationship is related to a greater/lesser than clue.
Take this grid state and specific lesser-than clue as an example.
If you're new to grid-based logic puzzles, this tutorial will teach you the basics. Start with the "Introduction" first, then move on to the tutorials discussing specific clues or solving methods. Each tutorial contains a number of different slides - you can advance to the next slide by clicking "Next slide" at the bottom of each page, or by using the circled numerical links below each slide. Choose your specific tutorial from the list below to get started.