When graphing y< -6 should the region below linie y= -6 be shaded or should the region above the line y= -6 be shaded?
< ---- below the line
> ---- above the line
When graphing the inequality y < -6, the region below the line y = -6 should be shaded.
To understand why, let's break down the inequality and the line:
- The inequality y < -6 means that y can take any value that is less than -6, but cannot be equal to -6.
- The line y = -6 represents all the points on the y-axis where y is exactly equal to -6.
Since the inequality is y < -6, any values that are less than -6, but not equal to -6, will satisfy the inequality. These values will be below the line y = -6. Therefore, we shade the region below the line to represent the solution set for the inequality.