SModule 1: Set of Real Numbers & Algebraic ExpressionsCollege AlgebraJerome A. Jimene! MoMAlgebra"#e science of reduction and cancellation$eal %it# operations on unspeci&ed or un'no%n numbers t#at are designated b( s(mbols or letters suc# as x!(!!a!b and c.$oes %e consider t#e follo%ingx ) ( a * b ( + b , cConcept of a SetA set is a collection of ob-ects! t#e ob-ects in a set are called elements of t#e set.Eac# particular ob-ect must be eit#er in a set or not on t#e set.A pair of braces . /! is used to describe a set.Example of a Set0f S is a set of natural numbers less t#an 1! t#enS 2 .1! 3! 4! 5! 6/ or.x! suc# t#at x is a natural number less t#an 1/7nion & 0ntersection of a Set"#e union of t%o sets A and 8! denoted b( A 7 8 is t#e set of all elements t#at are in A or in 8 or in bot# A and 8."#e intersection of A and 8 denoted b( A 8 is t#e set of all elements t#at are in bot# A and 8."#e set t#at contains no elements is called t#e empt( set denoted b( 9.ExampleSuppose A 2 .3! 5! 1! :! 1;! 13/! 8 2 .1! 5!