Inequalities

6x - 3 £ 2x + 1 

    

p(x + 4) > 7 - 2x

             x >

  = 1

a) minimum value of xy = -14

    c) greatest value of x/y + y² =

   1<|ax +1| 2

     1<|ax +1|  and  |ax +1| 2 

     ax + 1 > 1 or ax + 1 < -1 and -2 ax + 1 2

     ax > 0 ax <-2 and -3 ax 1

      x < 0 or x > and x

Sketch a number line

Solution is x0 or <x

Thus, -3 < x < 0 or x > 4