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MATH 10032 Fundamental Mathematics II

1.1. COUNTEREXAMPLES 7 Solution 3 Let us consider a = 1 and b = 2.Then 1 a+b = 1 1+2 = 1 3 which is a fraction less than one. However, 1 a + 1 b = 1 1 + 1 2 = 3 2 which is deflnitely larger than one. Therefore, 1 a+b 6= 1 a + 1 b for all real numbers a and b. Practice 3 Determine whether it is true or false that a+b c+d = a c + b d for all real numbers a;b;c, and d.