Explanation:
To graph this inequality, the vertex is (-4, -3). The x is -4 because, inside the absolute value signs, negative is right and positive is left. The y is -3 because you're subtracting outside of the absolute value signs.
The slope is 2 so keep drawing the line like in the picture: up 2, over 1.
Now color in the space below the line for less than.
Make sure the line is solid for and equal to.