Question

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

Answer 1

$2|x| textgreater frac{1}{2}\\|x| textgreater frac{1}{4}\\x textgreater frac{1}{4}; ; ; ili; ; ; x textless -frac{1}{4}; ; ; to ; ; ; left [ {{x textgreater frac{1}{4}} atop {x textless -frac{1}{4}}} right. \\xin (-infty ,-frac{1}{4})cup (frac{1}{4},+infty )\\\P.S.; ; ; 1); ; |x| textgreater a; ; to ; ; ; left [ {{x textgreater a} atop {x textless -a}} right. \\ ///////(-a)-----(a)///////\\2); ; |x| textless a; ; ; to ; ; ; -a textless x textless a; ; to left { {{x textless a} atop {x textgreater -a}} right. \\------(-a); ///////; (a)------$