Question

graphing an inequality
graph the solution set for this inequality:
-4x - 2y < -18
step 1: identify the x - and y - intercepts of the boundary line.
when x = 0, y =
when y = 0, x =
step 2: plot the x - and y - intercepts.
step 3: identify the type of line to graph the boundary
line type
check

Explanation:

Step1: Analyze inequality sign

The given inequality is $-4x - 3y \leq -12$. The $\leq$ symbol means the boundary line includes the solutions of the corresponding equation.

Step2: Determine line type

For inequalities with $\leq$ or $\geq$, the boundary line is solid because the points on the line are part of the solution set.

Answer:

solid