Question 166640
{{{(w+3)/2>6-3}}} Start with the given inequality.



{{{(w+3)/2>3}}} Combine like terms.



{{{w+3>6}}} Multiply both sides by 2.



{{{w>6-3}}} Subtract {{{3}}} from both sides.



{{{w>3}}} Combine like terms on the right side.



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Answer:


So the answer is {{{w>3}}} 



So the answer in interval notation is *[Tex \LARGE \left(3,\infty\right)]



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{w\|w>3\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-7, 13,-10, 10,
number_line( 500, -7, 13),

arrow(3,0,13,0),
arrow(3,0.30,13,0.30),
arrow(3,0.15,13,0.15),
arrow(3,-0.15,13,-0.15),
arrow(3,-0.30,13,-0.30),

circle(3,0,0.3),
circle(3,0,0.3),
circle(3,0,0.3),
circle(3,0,0.3-0.02)
)}}} 


Note: there is an open circle (which excludes the endpoint) at w=3