Single Variable Inequalities
x - 7 > 16
x > 23
What is the y-intercept for the following equation?
x-y=3
y=-3
Write the following in slope intercept form.
2x + y < -x + 3
y < -3x +3
dashed
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
-4x < 24
x > -6
What is the x-intercept for the following equation?
2x + 2y = 6
y = 3
Write the following in slope intercept form.
3x + 2y < 2x + 6
y < -1/2x + 3
What type of line does < have?
Solid
How do you graph the following y > -x + 8?
Dashed line, shade above, y-intercept=8 and the slope is -1
2x + 8 > -12
x > -10
What is the slope for the following equation?
x-y=3
m = 1
Write the following in slope intercept form.
4x - 3y > -12
y < 4/3x + 4
What type of line and where do you shade for <?
Dashed line and shade below
How do you graph the following: y < 2/3 x - 4
dashed line, shade below, b=-4, m=2/3
5x + 6 < -3x + 14
x < 1
What is the y-intercept and slope for the following equation?
3x-2y=-10
y= 5, m = 3/2
Write the following in slope intercept form.
2x + 8y > 6x - 16
y > 1/2x - 2
How would the line for the following look and where are the solutions located?
y< 3x-7
solid line and the solutions are located below the line
How do you graph the following: x > -2
dashed, right, vertical line
You want to spend no more than 80 dollars on an outfit for you birthday party. You have already spent 56 dollars on a shirt. Write an inequality to represent the possible cost of the rest of your outfit.
x + 56 < 80
What is the y-intercept and slope for the following equation?
3x + 4y=4
y=1, m=-3/4
Write the following in slope intercept form.
5y - 2x < 3y + 4
y < x +2
How would the line for the following look and where are the solutions located?
y> 4x
dashed and above the line
How do you graph the following: y<-3
solid, below(down), horizontal line