How do solve 6/x<2 graphically?
1 Answer
Aug 1, 2017
Explanation:
"rearrange so that right side is zero"
6/x-2<0larrcolor(red)" required solution"
"express the left side as a single fraction"
rArr(6-2x)/x<0
(6-2x)/x" has a vertical asymptote at "x=0
"and a horizontal asymptote at "y=-2
"solve "6-2x=0rArrx=3larrcolor(red)" x-intercept"
"from the graph we are looking for the solutions from"
"below the x-axis"
"solution is" (-oo,0)uu(3,+oo)
graph{(6-2x)/x [-10, 10, -5, 5]}
