Question

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

Answer 1

Given:

The inequality is $y$.

To find:

The graph of the given inequality.

Solution:

The inequality is

$y$

The related equation is

$y=-2x-4$

For x=0,

$y=-2(0)-4$

$y=0-4$

$y=-4$

For y=0,

$0=-2x-4$

$4=-2x$

$\dfrac{4}{-2}=x$

$-2=x$

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.