Как решать такие неравенства с модулями?2|x|>1/2

[latex]2|x| extgreater frac{1}{2}\\|x| extgreater frac{1}{4}\\x extgreater frac{1}{4}; ; ; ili; ; ; x extless -frac{1}{4}; ; ; o ; ; ; left [ {{x extgreater frac{1}{4}} atop {x extless -frac{1}{4}}} ight. \\xin (-infty ,-frac{1}{4})cup (frac{1}{4},+infty )\\\P.S.; ; ; 1); ; |x| extgreater a; ; o ; ; ; left [ {{x extgreater a} atop {x extless -a}} ight. \\ ///////(-a)-----(a)///////\\2); ; |x| extless a; ; ; o ; ; ; -a extless x extless a; ; o left { {{x extless a} atop {x extgreater -a}} ight. \\------(-a); ///////; (a)------[/latex]