INTRODUCTORY EXERCISES - Basic Rules of Algebra

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Using the basic rules BR1 - BR12, show that the following properties of real numbers also hold:

(1) If a + c = b + c, then a = b. ( Click On SOLUTION To See The Answer )

(2) If a 0 and ab = ac, then b = c. ( SOLUTION )

(3) a0 = 0 for any a. ( SOLUTION )

(4) If ab = 0, then a = 0 or b = 0. ( SOLUTION )

(5) If a > b and b > c, then a > c. ( SOLUTION )

(6) 1 > 0 ( SOLUTION )

(7) Expand or FOIL: (x + 1)(x - 2) ( SOLUTION )

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