Question

Greta says that 50% of a number will always be less than 75% of any other number. Complete one inequality to support Greta's claim and one to show that she is incorrect.

Answer 1

counter claim :
50% of 100 > 75% of 50...
0.5(100) > 0.75(50)
50 > 37.5

supporting claim :
50% of 25 < 75% of 30
0.5(25) < 0.75(30)
12.5 < 22.5

Answer 2

Following are two inequality showing support and incorrect situation of Geeta.

Explanation:

Given : Greta says that 50% of a number will always be less than 75% of any other number.

To find : Complete one inequality to support Greta's claim and one to show that she is incorrect.

Solution :

The situation is true or false depend upon the number.

The inequality form according to question,

Let the number be 100 and 50,

`50\% \text{ of} 100 > 75\% \text{ of} 50`

`(50)/(100)* 100 > (75)/(100)* 50`

`50> 37.5`

This inequality doesn't support Geeta.

Now, taking number 25 and 30

`50\% \text{ of} 25 < 75\% \text{ of} 30`

`(50)/(100)* 25< (75)/(100)* 30`

`12.5<22.5`

This inequality support Geeta.