Question

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

Answer 1

Answer with explanation:

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.

Answer 2

Supporting claim :
75% of 100 = 0.75 * 100 = 75
50% of 100 = 0.50 * 100 = 50
0.75(100) > 0.50(100) <== ur inequality

counter claim :
75% of -100 = 0.75 * -100 = -75
50% of -100 = 0.50 * -100 = -50
0.75(-100) < 0.50(-100) <== ur inequality