Question

given which of the following describes the boundary line and shading for the second inequality in the system

Answer 1

Answer:

Solid Line, Shade Above

Explanation:

Given:

$\left\{\begin{array}{l} y$

The second inequality in the system is:

$y\geq x-4$

The intercepts of the boundary line (y=x-4) are (0, -4) and (4,0).

Since the inequality has an equal to sign attached, we use a solid line.

At (0,0)

$\begin{gathered} y\geq x-4 \\ 0\geq-4 \end{gathered}$

Since the inequality 0≥-4 is true, shade the side that contains (0, 0) as shown in the graph below:

So, we use a solid line and shade above the boundary line.