Question 481535

{{{4x>=16}}} Start with the given inequality.



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



{{{x>=4}}} Reduce.



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Answer:


So the solution is {{{x>=4}}} 




So the answer in interval notation is   <font size="8">[</font>*[Tex \LARGE 4,\infty]<font size="8">)</font>



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x\ge4\right\}]



Here's the graph of the solution set on the number line


{{{drawing(500,80,-6, 14,-10, 10,
number_line( 500, -6, 14),

arrow(4,0,14,0),
arrow(4,0.30,14,0.30),
arrow(4,0.15,14,0.15),
arrow(4,-0.15,14,-0.15),
arrow(4,-0.30,14,-0.30),

circle(4,0,0.2),
circle(4,0,0.15),
circle(4,0,0.1),
circle(4,0,0.2-0.02)
)}}}


Note: there is a closed circle at the endpoint.