SOLUTION: If a < b, is it true that a^2 < b^2? If a < b, is it true that a^3 < b^3? Give some examples and a brief explanation. On the basis of your observations, state a general rule abo

Question 1175637: If a < b, is it true that a^2 < b^2? If a < b, is it true that a^3 < b^3?
Give some examples and a brief explanation.
On the basis of your observations, state a general rule about the relationship between a^n and b^n when a < b and n is a positive integer.
Give a brief explanation (1-2 sentences) or examples.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If a < b, is it true that a^2 < b^2?
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Not always.
eg, -4 < 2 ---> 16 < 4
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If a < b, is it true that a^3 < b^3?
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Yes.
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