Question

You are graphing y<2x +1 what type of line do you use and where do you shade ?

Answer 1

Hello!

The graph is attached.

Why?

To solve the problem, we need to look for the characteristics of the line.

We can see that:

- The line has a positive slope since the coefficient of the linear term is a positive number (2).

- Since the line has a positive slope, the line is increasing.

From the line we can calculate the axis intercepts:

For the x-axis intercept, making "y" equal to 0, we have:

`y=2x+1\\\\0=2x+1\\\\x=-(1)/(2)=-0.5`

We have that the x-axis interception point is located at the point (-0.5,0)

For the y-axis intercept, making "x" equal to 0, we have:

`y=2x+1\\\\y=2*0+1\\\\y=1`

We have that the y-axis interception point is located at the point (0,1)

Also, we have a "less" symbol for the inequality, meaning that the shade that represents the solution of the inequality is located under the pointed line.

The graph of the inequality is attached.

Have a nice day!