Determine the type of boundary line and shading for the graph of the inequality 3x + y greater than or equal to 10.
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
I am not into your dashed or solid lines, but here is the way to solve.
y>= -3x+10
draw that line (thru the points 0,10 and 3.33,0
so the inequality includes the line, and all points in areas below the line, including the origin
is it b
i looked the equation up on desmos
To determine the type of boundary line and shading for the graph of the inequality 3x + y ≥ 10, we first need to understand the inequality.
The inequality 3x + y ≥ 10 represents a linear equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope is 3 and the y-intercept is 10.
To graph the inequality, we start by plotting the line for the equation 3x + y = 10. However, since the original inequality is greater than or equal to, we need to decide whether the boundary line should be dashed or solid.
Since the inequality is "greater than or equal to," the boundary line should be a solid line. This is because the points on the line themselves satisfy the inequality. If the inequality were strictly "greater than," then a dashed line would be used to indicate that the points on the line do not actually satisfy the inequality.
Next, we need to determine the shading for the graph. The inequality is 3x + y ≥ 10, which means that any point (x, y) that satisfies the inequality should be shaded. In other words, any point on or above the line 3x + y = 10 should be shaded.
Since the inequality does not specify any specific side, we can shade either side of the line. However, based on the options given, the correct answer would be a dashed line with shading on the side that does not include the origin.
To graph, you would start by drawing a straight line with slope 3 passing through the y-intercept of 10. Then, shade the area above the line, or on the side that does not include the origin.
actually it would be all the points above and including the line y = -3x+10
http://www.wolframalpha.com/input/?i=plot+y+%E2%89%A5+-3x%2B10+