SOLUTION: solve : ((x² -2x -3)/(x+1)) ≤ 0

Question 1167552: solve : ((x² -2x -3)/(x+1)) ≤ 0
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

In factored form that is

With the like factors of (x+1) in both numerator and denominator, there will be a hole in the graph at x=-1; everywhere else the graph will be the same as the graph of

The original inequality is true whenever x is less than or equal to 3, except that it is undefined at x=-1.

ANSWER: (-infinity, -1) union (-1,3]

Here is a graph of the given function; it won't show the hole in the graph at (-1,-4):

A graphing utility like a TI-83 calculator will show the hole if an appropriate viewing window is used.

RELATED QUESTIONS
solve:... (answered by oberobic,MathLover1)

1.solve (2x - 3)(x - 4) =... (answered by stanbon)

Solve: 2x+1/x-3 =... (answered by josgarithmetic)

solve: (2x-1)^1/3 -3=0 x=? (answered by robertb)

solve {{{ x^(2/3)-2x^(1/3)-8=0... (answered by jim_thompson5910,josmiceli)

Solve each equation. x(2x-3)(4x-1)=0 (answered by ly12603)

2 - (x² + 2x)^(1/3) = 0, solve for... (answered by ikleyn)

Solve... (answered by RAY100)

1. (2x-3)(x+6) = (x-9)(x+2) 2. Solve and check (2x+3)(2x^2-5x-3) =... (answered by jim_thompson5910)