Leila says that 75% of a number will always be greater than 50% of any other number. Complete one inequality to support Leilas claim and one to show that she is incorrect
Accepted Solution
A:
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: [tex]100(0.75) \geq 50(0.50)[/tex] (which simplifies to [tex]75 \geq 25[/tex])
This inequality shows that Leila is incorrect: [tex]50(0.75) \geq 100(0.50)[/tex] (which simplifies to [tex]37.5 \geq 50[/tex])