Question

Mona claims that |m - n| is always equal to |m| - |n|. Give me two numbers to represent m and n that would prove Mona wrong.

Answer 1

To prove Mona wrong, we need to find two numbers m and n such that |m - n| is not equal to |m| - |n|. Taking m = 3 and n = 5, we can see that |m - n| is not equal to |m| - |n|.

Step-by-step explanation:

To prove Mona wrong, we need to find two numbers m and n such that |m - n| is not equal to |m| - |n|.

Let's take m = 5 and n = 3.

|m - n| = |5 - 3| = |2| = 2

|m| - |n| = |5| - |3| = 5 - 3 = 2

As we can see, in this case, both expressions are equal, so it doesn't prove Mona wrong.

Now, let's take m = 3 and n = 5.

|m - n| = |3 - 5| = |-2| = 2

|m| - |n| = |3| - |5| = 3 - 5 = -2

In this case, |m - n| is not equal to |m| - |n|, which proves that Mona's claim is incorrect.