haideyking28
Answered

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Which of the following graphs represents the solution set for y< -2x – 4? ​

Which Of The Following Graphs Represents The Solution Set For Ylt 2x 4 class=

Sagot :

Given:

The inequality is [tex]y<-2x-4[/tex].

To find:

The graph of the given inequality.

Solution:

The inequality is

[tex]y<-2x-4[/tex]

The related equation is

[tex]y=-2x-4[/tex]

For x=0,

[tex]y=-2(0)-4[/tex]

[tex]y=0-4[/tex]

[tex]y=-4[/tex]

For y=0,

[tex]0=-2x-4[/tex]

[tex]4=-2x[/tex]

[tex]\dfrac{4}{-2}=x[/tex]

[tex]-2=x[/tex]

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.

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