PROPIEDADES DE LOS NUMEROS REALES

 

·         a = b si y solo si a – b = 0

·         a < b si y solo si a – b < 0

·         a > b si y solo si a – b > 0

EJEMPLOS:

5 = 5                                      a < b   a – b < 0                    a = 8   8 > 4              

5 – 5 = 0                                a = 5   5 < 7                           b = 4   8 – 4 > 0

a = b                                      b = 7   5 – 7 < 0                                4 > 0

a = 7                                                  -2 < 0

a = 7   

EJERCICIOS:

1.- a = 3                     a < b   a – b < 0

     b = 9                                  3 < 9

                                               3 – 9 < 0

                                               - 6 < 0

2.- a = 37                   a < b   a – b < 0

     b = 40                               37 < 40

                                               37 – 40 < 0

                                               -3 < 0

3.- a = 34                   a > b   34 > 27

     b = 27                               34 – 27 > 0

                                                7 > 0

4.- a = 49                   a > b   49 > 12

     b = 12                               49 – 12 > 0

                                               37 > 0