Question

graphing an inequality
graph the solution set for the inequality
( y > 2x - 5 ) by following these steps:

step 1: identify the slope and ( y )-intercept
slope = ( 2 ), ( y )-intercept = ( -5 )
step 2: plot the ( y )-intercept.
step 3: use the slope to plot one more point.
step 4: is the boundary line solid or dashed?
line type:
( \begin{array}{c}\text{solid}\\text{dashed}end{array} )

(there is a coordinate plane and a table with ( x ) and ( y ) values: when ( x = 0 ), ( y = -5 ); when ( x = 1 ), ( y = -3 ))

Explanation:

Step1: Analyze inequality symbol

The inequality is $y > 2x - 5$. The $>$ symbol means the boundary line is not part of the solution set.

Step2: Determine line type

For inequalities with $>$ or $<$, the boundary line is dashed (solid is used for $\geq$ or $\leq$).

Answer:

dashed