+27 Hello! I have two questions:
1. Find a linear inequality with the following solution set. Each grid line represents one unit.
Graph:
https://latex.artofproblemsolving.com/a/2/9/a29ab229485ebb0bd55ba84d9b69637ee1b61804.png, or
2. Find a linear inequality with the following solution set. Each grid line represents one unit.
Graph:
https://latex.artofproblemsolving.com/8/d/9/8d9bd0400837caad6ee0e3c73ac50b6260d13361.png, or
+128474 First one.....we have the points (0.1) and ( -1,0) on the dashed line
The slope is ( 0-1) /( -1 - 0) = -1/-1 = 1
Imagining the dashed line to be solid, the equation of this line is
y = 1x + 1
y= x + 1
Since we have a dahed line....tehe inequality is either
y < x + 1 or y > x + 1
The point (-1,1) is in the yellow region
Putting this into both inequalities
1 < -1 + 1 1 > - 1 + 1
1 < 0 1 > 0
not true true
So...the correct inequality must be y > x + 1
+128474 Second one
The points ( 2,0) and (0, -4) are on the line
Slope of line = (-4 - 0) / ( 0 -2) = -4/-2 = 2
Equation of line (using 0,-4) is
y= 2x -4
Since we have an solid line the inequality is either
y ≤ 2x - 4 or y ≥ 2x - 4
Note that (3,1) is in the yellow region
If we test this point in both inequalities, note that
1 ≤ 2(3) - 4
1 ≤ 6 - 4
1 ≤ 2 is true
So....the correct inequality is y ≤ 2x - 4
+27 What in the world? I believe you, but the site says they are both wrong. Maybe bc of format?
+27 OOOOOHHHH i know
(Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where a,b andc are integers with no common factor other than 1.)
