Question 147371
Just take each expression separately and use logic.  Take out {{{(x+10)}}} first.  Ask yourself, what plus ten would give me zero? You should get -10.  Then take {{{x-4}}}.  Ask yourself, what minus 4 would give me zero? You should get 4.  Lastly, take {{{x+6}}}. Again, ask yourself, what plus 6 would give me zero?  You should get -6.  Which one of your answers is the highest number, -10, 4, or -6?  Your answer to that question is four.  So since 4 is your answer, separate the equation that got you that answer to (x-4) and work with it.  Kick the other friends to the curb. set it up as {{{x-4=0}}}.  Then since your original equation is an inequality, change the equal sign to a more than sign. {{{x-4>0}}}.  Then as you know from before, x=4, but this time, it is altered to {{{x>4}}}.  So this is your final answer that when plugged into the original equation would make the inequality true.