Question 920067
the solution set of {x | x < 2} U {x | x &#8805; 2} is:

 {{{-infinity}}},{{{infinity)}}} 

why:

set {x | x < 2}=  {{{-infinity}}},....,{{{-1}}},{{{0}}},{{{1}}} }

set {x | x &#8805; 2}= { {{{2}}},{{{3}}},{{{4}}},.....,{{{infinity}}} }

so, since the union of two sets A and B is the collection of points which are in A or in B or in both A and  B, your solution set  is ({{{-infinity}}},{{{infinity)}}} )