Format the answer of {|2x-3|=13}⋂{-3x+2<=-4}, x∈R?
How would I format the answer to this problem? ({x|x...}, {x∈R|x...}, just a number, or what?) I know that x=8, but I don't know how to write that in the correct way for set notation. Also, how does the x∈R part apply to the problem/answer? Thanks!
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{x∈ R such that |2x-3|=13 } =
{x∈ R such that 2x-3=13 or 3-2x=13 } =
{x∈ R such that x=8 or x=-5 } = {-5;8}.
-3(-5)+2 =17 >4 and -3(8)+2= - 22 <=4 . So :
{x∈ R such that |2x-3|=13}⋂{x∈ R such that -3x+2<=-4} =
{-5;8}⋂{x∈ R such that -3x+2<=-4} = {8}. :)