Question

1. How does someone find the equation of a boundary line?2. How does someone determine if the points on the boundary line are solutions to the inequality?

Answer 1

D: Find the boundary line equation by replacing the inequality sign with =

Step-by-step explanation:

Part 1

Given any inequality, say:

`yTo find the equation of the boundary line, replace the inequality sign with the equality(=) sign. This gives the equation of the boundary line to the inequality above as:[tex]y=x+5`

The correct choice is D.

Part 2

When drawing the boundary line:

• Use a solid line for the inequalities: ≤ or ≥

,

• Use a broken line for the inequalities: < or >

If the boundary line is solid, the points on the boundary line are solutions to the inequality, otherwise, they are not.