The set of all solutions of the inequality (1/2)x squared - 2x < (1/4) contains the set .... Share with your friends Share 1 Rishabh Mittal answered this 12x2-2x<1412x2-2x<122x2-2x>2x2-2x-2>0Now,x2-2x-2=0x=2±4-41-22=2±122=2±232=1±3Consider the intervals,-∞,1-3,1-3,1+3,1+3,∞In interval -∞,1-3Consider x=-2x2-2x-2=4+4-2=6>0In interval 1-3,1+3Consider x=0x2-2x-2=0+0-2=-2<0In interval 1+3,∞Consider x=4x2-2x-2=16-8-2=6>0So, solution is x∈ -∞,1-3 ∪ 1+3,∞ . -1 View Full Answer
