#1**+5 **

x^2 - 6x + 5 ≥ 0

Set this to 0

x^2 - 6x + 5 = 0 factor

(x - 5) ( x - 1) = 0 set each factor to 0 and solve and x = 5 and x =1

The solution to the original inequality will come from either of these two intervals (-inf,1] and [5, inf) or from the interval [1, 5]

Note that testing any point between x = 1 and x = 5 will make the inequality false

So.....the solution is x = (-inf, 1] U [5, inf )

CPhill
Mar 5, 2017