Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies (i) the closure property, (ii) the associative law, (iii) the commutative law. | (iv) What is the identity element? (v) For each a eQ- {1}, find the inverse of a.
Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies (i) the closure property, (ii) the associative law, (iii) the commutative law. | (iv) What is the identity element? (v) For each a eQ- {1}, find the inverse of a.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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