Question

Which inequality will have a solid boundary line and a shaded region above its graph?

a) x−y≤3
b) 2x−3y=3
c) 3y−x<2
d) 2x+y<7

Answer 1

The inequality with a solid boundary line and shaded region above its graph is a) x - y ≤ 3, having a solid line because of the ≤ symbol.

Step-by-step explanation:

The inequality that will have a solid boundary line and a shaded region above its graph is option a) x - y ≤ 3. This is because the inequality symbol includes an equal sign (≤), which indicates that the points on the line itself are solutions to the inequality and should therefore be represented by a solid line. The shading will be above the line because y is not greater than x but can be equal to or less than x + 3, based on rearranging the inequality as y ≤ x - 3.