How do you solve this?
#(x - 1)/(x+5 )> 2#
2 Answers
The solution is
Explanation:
Solve this inequality with a sign chart
Let
Let 's build a sign chart
Therefore,
graph{(x+11)/(x+5) [-36.52, 36.54, -18.27, 18.28]}
Explanation:
#"one way is to multiply both sides of the inequality by"#
#(x+5)^2" which is positive"to(x!=-5)#
#rArr(x-1)(x+5)>2(x+5)^2#
#"expanding both sides gives"#
#x^2+4x-5>2x^2+20x+50#
#"subtract "x^2+4x-5" from both sides"#
#rArr0>x^2+16x+55=(x+11)(x+5)#
#"the right side is a quadratic with positive leading"#
#"coefficient and zeros "x=-11" and "x=-5#
#"It is negative when "-11< x < -5#
graph{(x+11)(x+5) [-20, 20, -10, 10]}