Graphing/Solving Inequalities
Compound Inequalities
Graphing 2 Variable Inequalities
Writing Inequalities
100
Graph this inequality
2x-1<=5x+20
x>=-7
CLOSED Circle to the RIGHT
100
x-4<-7 or 2x>=12
x<-3 or x>=6
100
Graph
y>=2/3x-5
b=-5
m=2/3
Shaded Above
Solid Line
100
(2x-5)/3+2>7
x>10
200
7x-9<=19
Solve and Graph the Inequality
x<=4
Open Circle to the LEFT
200
-3x<=-9 or 5+x<6
x>=3 or x<1
200
Dashed or Solid? Shaded Above or Below?
y+1> -2/3(x-3)
DASHED AND SHADED ABOVE
200
Coach Archer purchased sports equipment for the new football season. He had a total budget of $8000.00. Footballs cost $180.00 each, and Cleats cost $150.00 each.
Create an inequality that represents the equipment he can purchase.
180x+150y<=8000
Let footballs be x
Let cleats be y
300
-3(2y-4)>9
SIMPLIFY
y<1/2
300
-3x+11>=20 or 1/2x-7> -5
Solve and Graph
x<=-3 or x>4
CLOSED circle at -3 GOING LEFT
OPEN circle at 4 GOING RIGHT
300
Graph this inequality
6x-3y<=12
b=-4
m=2
Solid Line
Shade ABOVE
300
y<-2/3x+2
400
Samantha works part-time as a tutor. She earns $15.25 per hour but must pay a $50 start-up fee for tutoring materials from her first paycheck. Samantha wants to earn at least $500 in her first month to help pay her rent.
Write and solve an inequality to determine how many hours, hhh, Samantha must work in her first month to meet her goal.
15.25h-50>=500
h>=36.07
400
A zoologist studies the relationship between a bird’s heart weight y (in grams) and its body weight x (in kilograms). The relationship is modeled by the inequality
30<=0.4x+5<=150
62.5<=x<=362.5
400
Graph
y<-3/4x
b=0
m=-3/4
Shade BELOW
Dashed
400
x>4
500
-1/4(40-12x)+8>=10x-14
x<=12/7
500
40+3/5m<70 or 40+3/5m>160
m<50 or m>200
500
Graph
y>=2
b=2
SOLID LINE
SHADED ABOVE
HORIZONTAL LINE AT 2
500
Kim goes to get Basketball Gear for her daughter. Shorts are $4 and socks are $13 a pair. She can spend $200.
The inequality to represent this is
4x+13y<=200
Is the solution (7,-5) Viable?
No, you cannot buy -5 pairs of Socks