Question 198036

{{{x-3>=7}}} Start with the given inequality.



{{{x>=7+3}}} Add {{{3}}} to both sides.



{{{x>=10}}} Combine like terms on the right side.



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Answer:


So the answer is {{{x>=10}}} 




So the answer in interval notation is   <font size="8">[</font>*[Tex \LARGE 10,\infty]<font size="8">)</font>



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x\ge10\right\}]



Here's the graph of the solution set


{{{drawing(500,80,0, 20,-10, 10,
number_line( 500, 0, 20),

arrow(10,0,20,0),
arrow(10,0.30,20,0.30),
arrow(10,0.15,20,0.15),
arrow(10,-0.15,20,-0.15),
arrow(10,-0.30,20,-0.30),

circle(10,0,0.2),
circle(10,0,0.15),
circle(10,0,0.1),
circle(10,0,0.2-0.02)
)}}}