Question

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>=0 where a, b, and c are integers with no common factor greater than 1.) Help please!! I have to finish it by tonight!! Thank you!!

Answer 1

Below

Explanation:

First let's find the equation of the doted line.

Notice that the line is crossing these points:

● (0,1)

● (1,2)

The equation of the line has the following form:

● y = ax+c

C is the y-intercept wich is given by the output of 0.

Notice that the output of 0 is 1.

● y = ax+1

● a = rise / run = (2-1)/(1-0) = 1

So y = x + 1

■■■■■■■■■■■■■■■■■■■■■■■■■■

Notice that the line divide the plan into 2 areas.

● y > x+1 => x+1-y < 0

● y < x+1 => x+1 -y > 0

To khwo wich one that represent the shaded area take a point and replace x and y by its coordinates

● (-1,2)

● -1+1-2 = 0-2 = -2

It is a negative value so the inequality is

● y > x+1