Question

Which linear inequality represents the graph below?
(-2,3)
(0-2)
A. y<-{x-2
O B. y<-x-2
O C. ysx-2
O D. ys-x-2

Answer 1

Answer:

B.

Step-by-step explanation:

1. We can clearly see that the "rise" is 5 and the "run" is 2, which cancels out both A. and D.

2. The line is dashed, which therefore cancels out both C. and D.

3. Just by canceling out those two can help you see that B fits what is seen in this figure because option A. has the wrong amount of "rise" over "run".

Answer 2

The linear inequality can be obtained from the given graph (the nature

of the line and the feasible (shaded) region).

Response:

$B. \ y < -\dfrac{5}{2} \cdot x - 2$

How can the graph of the inequality be determined?

The given points in the graph are;

(-2, 3), and (0, -2)

The slope of the line is therefore;

$Slope = \dfrac{-2 - 3}{0 - (-2)} = \mathbf{-\dfrac{5}{2}}$

The equation of the line is therefore;

$y - 3 = \mathbf{ -\dfrac{5}{2} \cdot (x - (-2))}$

$y = -\dfrac{5}{2} \cdot x - 5 + 3 = -\dfrac{5}{2} \cdot x - 2$

$y = \mathbf{-\dfrac{5}{2} \cdot x - 2}$

Given that the left side (below the line of the equation of the graph) is

shaded and the line of the graph is a broken line, the correct option is

therefore;

$B. \ y < -\dfrac{5}{2} \cdot x - 2$

Learn more about the graph of inequalities here:

https://brainly.com/question/19251897