Assignment # 3 : Solutions

In either case, observe that (n2 –1) is a multiple of 8 and (n2+1) is a multiple of 2. Hence their product, which equals (n4-1), is a multiple of 16. (Section 3.5. 20. Statement: For all real numbers x and y, (xy( = (x(. (y(This statement is false. A counter example is x=1.5, y=2.0. Then (x( = 2, (y( = 2, and (xy( = (3.0( = 3. And 2*2 ( 3. 28. ................
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