Question

GraphA
GraphB
GraphC
GraphD

Answer 1

Graph A its the beat answer

Answer 2

Answer: The correct option is (A). The image is attached below.

Step-by-step explanation: We are given to graph the following equation on a piece of paper:

`y<(3)/(4)x+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Then, we are to select the correct choice of the graph that matches with the graph we have drawn.

Writing the inequality (i) as an equation, we get

`y=(3)/(4)x+2.`

Since it is a linear equation in two variables, so we need only two points to draw the graph.

At x = 0, we have

`y=(3)/(4)*0+2=2,`

at x = -4, we have

`y=(3)/(4)* (-4)+2=-1.`

So, (0, 2) and (-4, -1) are two points on the line.

We draw the line as shown in the attached figure below. Also, the line is dotted because the points on the line are not included.

Since
`y<(3)/(4)x+2,` so the region below the straight line will be shaded.

We see that the drawn graph below matches with the graph (A).

Thus, the correct option is (A).