Solve the following inequalities: x^2+5x+12 > 6Show step by step process to explain the solution and answer
Changing into factors,
For this to be positive, both of the factors are negative or both of the factors are positive.
Therefore, one solution is,
`x+2lt0 and x+3lt0`
`xlt-2` and `xlt-3`
The common solution for this is `x lt-3` .
The other solution,
`x+2gt0` and `x+3gt0`
`xgt-2` and `xgt-3` .
The common solution is `xgt-2` .
Therefore, the solutions for the given inequaility are x <-3 or x>-2.