martes, 14 de agosto de 2012

EJERCICIOS DE DESIGUALDAD


SIGNOS  DE DESIGUALDADES
  DESIGUAL                                              
< MENOR QUE
> MAYOR QUE
≤ MENOR QUE
≥ MAYOR QUE
EJERCICIOS DE DESIGUALDADES
1. x-3> 5                                      2. X-5>9
x> 5 +3                                          x<5+9
x> 9                                                x>14
9-3>5                                           15-5>9
6>5                                              10<9

3. 4x+8≤ -3x-5                               cuando x:
4x+3x≤ -8-5                                   4(-1.8571428571) +8 ≤ -3(-1.8571428571)-5
7x≤ -13                                             -7.428571428571429 +8 ≤ 5.571428571 -5
x≤ -13/7                                                                        0.57148571 ≤0.571428571
x≤ -1.8571428571

4. 2x-4 ≥3x+1                                       cuando x:
2x-4+4 ≥ 3x+1+4                                 2(-5) -4 ≥ 3(-5)+1
2x≥ 3x+0≥ 0+5                                     -10-4 ≥-15+1
-x≥ 5                                                         -14≥ -14
x≥ -5


4. 2x-4≥ 3x+1                                    cuando x:
2x-3x≥ 4+1                                        2(-5)-4≥ 3(-5)
-x≥ 5                                                 -10-4 ≥-15+1
                                                                 -14≥ -14


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