Question

solve the system of two linear inequalities graphically. \\(\

$$\begin{cases} y \\leq -5x - 10 \\\\ y > x + 2 \\end{cases}$$

\\) step 1 of 3 : graph the solution set of the first linear inequality.

Explanation:

Step1: Identify boundary line

Boundary line: $y = -5x - 10$

Step2: Determine line style

Since $\leq$ is used, draw a solid line.

Step3: Test a point for shading

Test $(0,0)$: $0 \leq -5(0)-10 \to 0 \leq -10$, false. Shade the region opposite to $(0,0)$ (below the line).

Answer:

Graph the solid line $y = -5x - 10$, then shade the region below this line.