Question 153202
{{{k(x)=4x-16}}} Start with the given equation.



{{{4x-16>0}}} Set the right side greater than zero.



{{{4x>0+16}}} Add {{{16}}} to both sides.



{{{4x>16}}} Combine like terms on the right side.



{{{x>(16)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



{{{x>4}}} Reduce.



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Answer:


So the answer is {{{x>4}}} which means that any value of x that is greater than 4 will make {{{k(x)}}} greater than zero.