The graph of the solution of 16≤3x+6 is a line that is shaded to the right of the boundary line. The boundary line is the line that represents the equation 16=3x+6, which can be rewritten as 3x+6=16. To graph the boundary line, we can subtract 6 from both sides of the equation, giving us 3x=10. Then, we divide both sides by 3 to solve for x, resulting in x=10/3.
So, the boundary line is a vertical line passing through x=10/3. We can plot this point on the x-axis and draw a dashed line to represent the boundary.
Now, since the inequality is 16≤3x+6, any point that satisfies this inequality lies on or to the right of the boundary line. Therefore, the shaded region is to the right of the boundary line.
To summarize, the graph of the solution is a dashed vertical line passing through x=10/3, with a shaded area to the right of the line.
Choose the graph of the solution of
16≤3x+6
1 answer