Determine the type of boundary line and shading for the graph of the inequality 3x + y greater than or equal to 10.
answer choices
dashed line with shading on the side that includes the origin
solid line with shading on the side that does not include the origin
dashed line with shading on the side that does not include the origin
solid line with shading on the side that includes the origin

second option

Step-by-step explanation:

The equation of the line in slope-intercept form is:

Where m is the slope and b is the y-intercept.

Rewrite the expression as:

Solve for "y":

You can identify that:

Therefore, the line intersects the y-axis at the point (0,10)

For the graphs of inequalities with the line must be solid.

The inequality given is and it can be written as

Then, the shaded region must be above the solid line. Therefore  it does not include the origin (Observe the graph attached).

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer