Which of the following inequalities matches the graph? graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line.

a. 5x + y greater than or equal to 1
b. 5x + y less than or greater to 1
c. 5x - y greater than or equal to 1

The equation of the generic line is:

Where,

(xo, yo): ordered pair where the line passes

m: slope of the line

For the slope we have:

Substituting values:

Then, we choose an ordered pair:

Substituting values we have:

Rewriting we have:

Then, we know that the shaded region is below the line, so the inequation is:

The following inequality matches the graph:

C. 5x - and greater than or equal to 1

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5