X-5/x<4 times both sides by x x²-5<4x minus 4x both sides x²-4x-5<0 factor (x-5)(x+1)<0 hmm special points at x=-1 and x=5 when x=-2, we get 10<0 which is false when x=0, we get -5<0 which is true when x=6, we get 7<0 which is false so the solution must be the range between -1 and 5