Single Variable Inequalities
x - 7 > 16
x > 23
h(t) = -t + 2; Find h(-2)
h(-2) = 4
What does < look like when you graph it as a line?
dashed
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
-4x < 24
x > -6
g(x) = 3x - 1; Find g(7)
g(7) = 20
What does < look like when you graph it as a line?
Solid
Graph the following y > -x + 8?
Dashed line, shade above, y-intercept=8 and the slope is -1
2x + 8 > -12
x > 10
g(x) = 3x - 1; Find g(x)=5
x = 2
What does the shading mean on a linear inequality that is graphed on a coordinate plane?
coordinates of the points that are solutions to the inequality
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
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
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
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
Graph the following: y<-3
solid, below(down), horizontal line