Question

Explain why there is no solution to the inequality |w - 2| < -2.

Answer 1

When you take the absolute value of any number, can you get a negative?

Answer 2

yes..

Answer 3

No, the absolute value of any number is a positive number.

Answer 4

Can any positive number be less than -2?

Answer 5

Why is that?

Answer 6

No...?

Answer 7

That is the definition of absolute value. It is the distance from 0 to the number in question.

Answer 8

So, the absolute value of -3 is 3.

Answer 9

And the absolute value of 3 is 3.

Answer 10

Because they are both 3 away from 0.

Answer 11

So there is no solution to the question above because it has a negative number, right?

Answer 12

There is no solution because a positive number can never be less than -2.

Answer 13

Oh now I understand! Thank you Joanna! :)

Answer 14

No worries. :)