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Name C Arell Non-Prost Examples Example 1 Usine the properties of real wasbers below, prew that...

Question:

Name C Arell Non-Prost Examples Example 1 Usine the properties of real wasbers below, prew that at any real mumbers o, b, e e

Name C Arell Non-Prost Examples Example 1 Usine the properties of real wasbers below, prew that at any real mumbers o, b, e ey s 1. a+b-b+a. 2. (a + b) +e-a+(6+ e). 3. ab ba 4. (ab)e= a(be). 5. If a +-a= 0, then - a is the additive inverse of a. 1, then b is the multiplicative inverse of a. 6. If a(b) 7. a(bc)= ab + ac. 8. z-y +(-y). 0 0, Vr e R. 9. "Proof" 1.1 b- ac Proof. Given the properties of real numbers, 2 15 2 3 a(b- c) = ab - ac. ab a(-c) = ab - ac a(-c)=-ac / ac+ a(-e) = 0 a(c+(-e)) 0 - - a C (1) a 0 0 0=0 1.1.1 *Sense any make doesn't it backwards but things right the write you if. 1

Answers

First of all, we will show that a.c-c) = -ac Now, a. (C+(-()) = a.c + ac-c) [by property @] > ao = a.c + a. (c) [ by property

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