Find a linear inequality with the following solution set. Each grid line represents one unit.

(Give your answer in the form $ax + by + c > 0$ or $ax+by+c\geq0$ where $a$,$b$ and $c$ are integers with no common factor other than 1.)

Guest Jun 3, 2021

edited by
Guest
Jun 3, 2021

#1**+2 **

Shaded area is everything less than and including the line .

Equation of a line y = mx + b

Line slope m = rise / run = 4/2 = 2 b = -4

y = 2x -4 is the line equation

y <= 2x-4 re-arrange to requested form

-2x + y +4 <= 0 multiply by -1

2 - y -4 >= 0

ElectricPavlov Jun 3, 2021