Question

Lillian says that 25% of a number will always be less than 75% of any other number.

Complete one inequality to support Lillian's claim and one to show that she is incorrect.



CLEAR CHECK

Support


25% of

< 75% of


Refute


25% of

> 75% of

Answer 1

(a)25% of 100 < 75% of 100

(b)25% of -100 > 75% of -100

Explanation:

If Lillian says that 25% of a number will always be less than 75% of any other number.

We are required to complete two inequality one of which supports and the other refutes the statement.

Support

Let our number be 100

25% of 100 < 75% of 100

25<100

This is true.

Refute

Let our number be -100

25% of -100 > 75% of -100

-25>-100

Therefore, for negative numbers, the inequality will not be true as:

-25>-100.