Question

Help ASAP math homework

Answer 1

$\left\{\begin{array}{ccc}y \ \textgreater \ -x-3\\y\leq4x+2\end{array}\right\\\\y=-x-3\\for\ x=0\to y=-0-3=-3\to(0;-3)\\for\ x=-3\to y=-(-3)-3=3-3-=0\to(-3;0)\\\\y=4x+2\\for\ x=0\to y=4(0)+2=0+2=2\to(0;2)\\for\ x=-1\to y=4(-1)+2=-4+2=-2\to(-1;-2)\\\\Answer\ in\ attachment$

Answer 2

See attachment for graph.

Notes: graph each line as if they are "equal".
Then draw the lines as:
dashed for < and > 
solid for ≤ and ≥
Next, choose a test point and plug it into both equations.  If the result is True for BOTH equations, then shade that section.