Solve the equation below graphically, numerically, and symbolically. then solve the related inequality.

Question

Solve the equation below graphically, numerically, and symbolically. then solve the related inequality.

 

[6 - 5x] = 2,           [6 - 5x] > 2

Answer 1

l 6 - 5X l = 2 

 

  6 -5X = 2                      X = -4 / -5 = 4/5

 

 

  6 -5x  =  -2                   -5x = -8      X = -8/-5 = 8/5 

 

 l 6 -5x l › 2

 

  6 - 5x › 2   or  6 -5x ‹ -2

    - 5x ›-4   or   8‹ 5X

        X <4/5 or   X < 8/5

 

          X ‹ 8/5