The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below.
-$\mathrm{y}

Question

The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below.
-$\mathrm{y}<\mathrm{x}-\frac{7}{2}$
A) solid; above
B) solid; below
C) dashed; above
D) dashed; below

Quizplus · Accepted Answer

The boundary of the graph of a strict inequality (without the equal part, such as $y < x - \frac{7}{2}$) is represented by a dashed line because points on the line do not satisfy the inequality. The shading will be below the line because the inequality is less than ($y < x - \frac{7}{2}$), indicating that the solution includes points where $y$ is less than $x - \frac{7}{2}$.

The Boundary of the Graph of the Linear Inequality Will y<x−72\mathrm{y}<\mathrm{x}-\frac{7}{2}y<x−27​

The Boundary of the Graph of the Linear Inequality Will $\mathrm{y}<\mathrm{x}-\frac{7}{2}$