erickq
Answered

Write the linear inequality shown in the graph. The gray area represents the shaded region.


A. y ≤ 3x + 4

B. y ≤ 3x – 4

C. y ≥ 3x + 4

D. y ≥ 3x – 4

Write the linear inequality shown in the graph. The gray area represents the shaded region. A. y ≤ 3x + 4 B. y ≤ 3x – 4 C. y ≥ 3x + 4 D. y ≥ 3x – 4 class=

Answer :

carlosego

Answer: C. [tex]y\geq3x-4[/tex]


Step-by-step explanation:

1. The graph indicates that the line intersect the y-axis at -4.

2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:

Point (0,2):

[tex]y\geq3x-4\\2\geq3(0)-4\\2\geq-4[/tex]

(This is true)

3. Therefore, you can conclude that the answer is the option C.

kudzordzifrancis
ANSWER
[tex]y \ge 3x - 4[/tex]

EXPLANATION

The given line passes through (2,2) and (0,-4)

The slope of the given line is

[tex]m = \frac{2 - - 4}{2 - 0} = \frac{6}{2} = 3[/tex]

The line has a y-intercept of

[tex]c = - 4[/tex]

The equation is given by
[tex]y = mx + c[/tex]

Thus,

[tex]y = 3x - 4[/tex]

Since the right half plane is shaded the required inequality is


[tex]y \ge3x - 4[/tex]

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