Single Variable Inequalities
x - 7 > 16
x > 23
What is the y-intercept for the following equation?
x-y=3
y=-3
h(t) = -t + 2; Find h(-2)
h(-2) = 4
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?
x-y=3
x = 3
g(x) = 3x - 1; Find g(7)
g(7) = 20
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
g(x) = 3x - 1; Find g(x)=5
x = 2
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
-5(3 - x) + 21 < -3x + 14
x < 1
What is the x,y-intercepts, and slope for the following equation?
3x-2y=-10
x = -10/3, y= 5, m = 3/2
h(t) = -t + 2; Find h(t)=8
t=-6
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 spend 56 dollars on a shirt. Write an inequality to represent the possible cost of the rest of your outfit.
80 > 56 + x
What is the x,y-intercepts, and slope for the following equation?
3x + 4y=4
x=4/3, y=1, m=-3/4
g(x) = 3x - 3; Find g(x)=24
x=9
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