Question 585417
{{{x-1>10}}} Start with the given inequality.



{{{x>10+1}}} Add {{{1}}} to both sides.



{{{x>11}}} Combine like terms on the right side.



----------------------------------------------------------------------


Answer:


So the solution is {{{x>11}}} 


So the answer in interval notation is *[Tex \LARGE \left(11,\infty\right)]



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x>11\right\}]



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


{{{drawing(500,80,1, 21,-10, 10,
number_line( 500, 1, 21),

arrow(11,0,21,0),
arrow(11,0.30,21,0.30),
arrow(11,0.15,21,0.15),
arrow(11,-0.15,21,-0.15),
arrow(11,-0.30,21,-0.30),

circle(11,0,0.3),
circle(11,0,0.3),
circle(11,0,0.3),
circle(11,0,0.3-0.02)
)}}}


Note: there is an open circle at the endpoint.

--------------------------------------------------------------------------------------------------------------
If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help">jim_thompson5910@hotmail.com</a>


Also, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Thank you


Jim
--------------------------------------------------------------------------------------------------------------