Question

the inequality, $x \leq 2$, will make what type of line?\
dashed, vertical\
dashed, horizontal\
solid, horizontal\
solid, vertical

Explanation:

Step1: Identify line orientation

Equations of the form $x = a$ are vertical lines (parallel to the y-axis, passing through $x=a$). Here $a=2$, so it is a vertical line.

Step2: Determine line style

Inequalities with $\leq$ or $\geq$ use solid lines (since the boundary is included in the solution set). The given inequality is $x \leq 2$, so the line is solid.

Answer:

solid, vertical