Leila says that 75% of a number will always be greater than 50% of any other number. complete one inequality to support leila's claim and one to show that she is incorrect

Let a and be two numbers.

Leila says that 75% of a number will always be greater than 50% of any other number.

This means that:

                   0.75×a > 0.50×b

( Since 75% of a=0.75×a

and 50% of b =0.50×b )

1)

Numbers that support Leila's claim.

Let a=100 and b=10

0.75×a=0.75×100=75

and 0.50×10=5

As we know that:

               75 > 5

Hence, a=100 and b=10 support Leila's claim.

2)

Numbers that refutes her claim.

Let a=1 and b=200

0.75×a=0.75×1=0.75

and 0.50×200=100

As we know that:

               0.75 < 100

Hence, a=1 and b=200 refutes Leila's claim.

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