Exercise 2.3.3. [Used in Example 4.5.3 and Exercise 4.6.1.] For any a ∈ R (Real numbers) let a^3 denote a x a x a. Let x

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Exercise 2.3.3. [Used in Example 4.5.3 and Exercise 4.6.1.] Forany a ∈ R (Real numbers) let a^3 denote a x a x a. Let x, y, ∈ R(Real numbers). (1) Prove that if x < y, then x^3 < y^3.
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