Saltar la navegación

Linear inequations

To solve a linear inequation, we have to obtain equivalent inequations until we work out the unknown:

Example 1:

  2x + 3 ≤ 4x + 7        2x + 3 – 3 ≤ 4x + 7 – 3

  2x – 4x ≤ 4x + 4 – 4x       - 2x ≤ 4      x ≥ -2

   x є [-2,∞)

NOTE: don’t forget to represent the interval

Example 2:
 
 
 
Exercise. Solve the following linear inequations:
 
 
 
 
 
Solutions: a) [-47/2,∞); b) (-∞,32/13); c) [7,∞)