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If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is <em>true</em>;<em> </em>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:
(which simplifies to 
)
This inequality shows that Leila is incorrect:
(which simplifies to 
)
Hope this helps!
This inequality shows that Leila is correct:
This inequality shows that Leila is incorrect:
Hope this helps!