Page 6 - Math SL HB Sem 1
P. 6

PITESUMEI) KNOWLE,I)GE




                    2. REAL NT]NIBER SYSTEM





























                    PROPF]RTIE,S  OF ZERO, O
                                                   i)0+a:a+0:a
                                                   ii)0xa=axQ=0

                                             I
                    e.g. 0x0=0                 -  undellnerl  ( becausc the division  by z-ero cannot  be
                                             0
                    d one)
                          0                  I
                          --()                 =  undeternr  ined
                          8                  0
                    ITITAL NUMI}ER LINE AND ITS IN'I'I]RVAL


                    lnequality  lnterval  lnterval Svmbol    Line Craph          Types of Interval
                    a<x<b                la,bl                                   closed
                                                                q            b
                    a<x<b                                                        opened
                                         )",tI
                                                                4            b
                    a<x!b                l",tl                 _ar---+-          I lalf -opcned  or
                                                                qb               half-closed
                    aSx<b                Ir'ol                   o-----------   _!!alf-opened  or
                                                                 qr,
                                                                                 half-closed
                    x <a                 l-*'rl                                 -  Closed at the right
                                                                             b
                    x>b                                                         - opened
                                         lr,*[                    e------
                                                                  lo


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