If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is true; however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.
This inequality shows that Leila is correct: 100(0.75) \geq 50(0.50)100(0.75)≥50(0.50) (which simplifies to 75 \geq 2575≥25 )
This inequality shows that Leila is incorrect: 50(0.75) \geq 100(0.50)50(0.75)≥100(0.50) (which simplifies to 37.5 \geq 5037.5≥50 )
