Question 1040429
You are correct. {{{x<=-4}}} or {{{x > -1}}} both combine to give you the solution set. To write this in interval notation, you would write


<img src="http://www.sciweavers.org/tex2img.php?eq=%28-%5Cinfty%2C%20-4%5D%20%5Ccup%20%28-1%2C%20%5Cinfty%29&bc=White&fc=Black&im=jpg&fs=18&ff=arev&edit=0" align="center" border="0" alt="(-\infty, -4] \cup (-1, \infty)" width="246" height="27" />


the parenthesis indicate we exclude the endpoint
the square bracket means to include the endpoint (we include -4)
the big U means "union" to glue together the two intervals


To draw out the graph of the solution set on the number line you will have a solid circle at -4 and an open circle at -1. Shade to the left of -4 and shade to the right of -1. Do not shade between -4 and -1.