Inequalities
Solve the Inequality and graph on a number line.
-7>n/4 -9
8>n
Solve the Inequality and graph on a number line.
2x<10
or
x/2>=3
x<5
or
x>=6
WRITE AN EQUATION AND SOLVE!
The sum of three consecutive even integers is 150. What are the three numbers?
48, 50, 52
-20=-4x-6x
x=2
Solve for X
u=x-k
x=u+k
Solve the Inequality and graph on a number line.
10x+6<=36
x<=3
Solve the Inequality and graph on a number line.
-3<=p/2<0
-6<=p<0
WRITE AN EQUATION AND SOLVE!
The sum of three consecutive integers is 192. What are the three numbers?
63, 64, 65
4n-4=4n
No Solution
Solve for a
g=ca
a=g/c
Solve the Inequality and graph on a number line.
a-6<=15+8a
a>=-3
Solve the Inequality and graph on a number line.
r+5>=12
or
r/9<0
r>=7
or
r<0
WRITE AN INEQUALITY AND SOLVE!
Keith has $700 in a saving account at the beginning of the summer. He wants to have at least $150 at the end of the summer. He withdraws $50 per week. How many weeks can Keith withdraw money from his account?
700-50w>=150
w<=11
x+5=-5x+5
x=0
Solve for a
u=(ak)/b
a=(ub)/k
Solve the Inequality and graph on a number line.
28-7x<=-4(-7x-7)
x>=0
Solve the Inequality and graph on a number line.
-50<7x+6<-8
-8<x<-2
WRITE AN EQUATION AND SOLVE!
One movie theater charges a one time membership fee of $20 plus $4 per movie. A second theater does not charge a membership but charges $14 per movie. How many movies do you need to see for both theaters to cost the same?
20+4x=14x
2 movies
3x-5=-8(6+5x)
x=-1
Solve for a
z=b+m/a
a=m/(z-b)
Solve the Inequality and graph on a number line.
-5n+6>=-7(5n-6)-6n
n>=1
Solve the Inequality and graph on a number line.
-36<3x-6<-15
-10<x<-3
WRITE AN EQUATION AND SOLVE!
3 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?
3(x-2)=42
16
-3(4x+3)+4(6x+1)=43
x=4
Solve for a
g=b-ca
a=(-g+b)/c