Question

If a^5 < b^5, which of the following must be true?

1. a < b
2. a^4 < b^4
3. I a I < I b I

Explain why?

Answer 1

so have you seen what would happen if you try two negative numbers, or a negative number and maybe 0 out? like see which inequalities work provided a^5<b^5 is true

Answer 2

The problem with this question is that it did not mention which of the a or b is positive or negative. If we consider

a = 2 and b = 3

2 < 3

the correct answer would be 1