Решите неравенства: a)t(t-1)<0; б)t(t-1/4)(t-12)geq=0; в)x^2-x>0 г)2x+x^1leq=0.

[latex]1)quad t(t-1) extless 0\\+++(0)---(1)+++\\xin (0,1)\\2)quad t(t-frac{1}{4})(t-12) geq 0\\---[0]+++[frac{1}{4}]---[12]+++\\xin [, 0,frac{1}{4}, ]cup [12,+infty )\\3)quad x^2-x extgreater 0\\x(x-1) extgreater 0\\+++(0)---(1)+++\\xin (-infty ,0)cup (1,+infty )\\4)quad 2x+x^2 leq 0\\x(2+x) leq 0\\+++[-2, ]---[, 0, ]+++\\xin [-2,0, ][/latex]