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Step2247 [10]
3 years ago
5

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

ity?
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.
Mathematics
2 answers:
Sladkaya [172]3 years ago
8 0
I think the answer is B The region shaded below a solid boundary line. I'm only 75% sure
ExtremeBDS [4]3 years ago
8 0

D : The region shaded below a dashed boundary line.

Step-by-step 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.

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