Name______________________

 

SOLVING INEQUALITIES #1--KEY

 

Directions:  In the following inequalities, solve for x.  Show your steps and write your answer in the space provided..

 

 

Examples:  7x < 56                               x + 11 > -5                              -2x + 10 <  100

                   7       7                                  - 11    -11                                    -  10      -10

 

                     x < 8                                      x > -16                                        -2x <  90

                                                                                                                      -2       -2

                                                                                                           

                                                                                                                         x  > -45

 

 

1)  8x  <  120                                       2)  16x  >  -100                                   3)  -5x  >  80

 

 

 

       x < 15                                                  x > -6.25                                               x < -16

 

4)  x + 20  <  75                                   5)  x – 15  >  225                                 6)  130 + x   <  530

 

 

 

       x  <  55                                                 x   >  240                                                 x  <  400

 

7)  4x + 20  <  100                               8)  10x + 16  >  156                             9)  25 + 6x  <  300

 

 

 

 

 

 

x  <  20                                                x  > 14                                             x  <  45.83

  

 

10)  -20x + 20  <  400                         11)  100x + 260  >  260                       12)  25 + -8x  <  225

 

 

 

 

 

 

 x  >  -19                                              x   >  0                                                 x  >  -25