MAT 101 Lecture Notes - Real Number, Solution Set

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12 Jun 2022
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This chapter reviews real numbers, inequalities, intervals, and absolute values. The real numbers can be represented geometrically as points on a number line called the real line. We distinguish four special subsets of real numbers. 49: real numbers that are not rational are called irrational numbers (cid:2185). If there is no possibility that (cid:1853)=(cid:1854), we write (cid:1853)>(cid:1854) or (cid:1854)(cid:1854) if the point on the real axis corresponding to (cid:1853) lies to the right of the point corresponding to (cid:1854). For examples 3 < 5 or 5 > 3; 2< 1 or. 1> 2; (cid:1876) 3 means that (cid:1876) is a real number which may be 3 or less than 3.