Question

The equation y = –x + 4 is the boundary line for the inequality y < –x + 4. Which sentence describes the graph of the inequality?

AThe region shaded above a solid boundary line.

BThe region shaded below a solid boundary line.

CThe region shaded above a dashed boundary line.

DThe region shaded below a dashed boundary line.

Answer 1

D : The region shaded below a dashed boundary line.

Explanation:

The equation y = –x + 4 is the boundary line for the inequality y < –x + 4.

y=-x+4 is the boundary line for the given inequality

our given inequality is y< -x+4

there is no <=. we have only < symbol

for < symbol , the boundary line will be a dashed line

To check the shaded region we use the test point (0,0)

x=0 and y=0

plug it in the inequality

y < –x + 4

0<-0+4

0<4 its true

so we shade the region that contains (0,0)

Hence we shade below the dashed line

D :The region shaded below a dashed boundary line.