Graphing Inequalities
Two-Step Inequalities
Rational Inequalities
Writing Inequalities
100

Graph: 

X > -13

Open circle to the right

100

Solve and Graph:

-5X > 20

X < -4

Open circle to the left

100

Solve and Graph:

1/2 x + 14 ≥ 15

x ≥ 2

Close Circle to the right

100

WRITE AND INEQUALITY:

Inez must be at least 4 1/2 feet tall to ride the roller coaster.

x ≥ 4 1/2

200

Graph: 

y ≤ 5

Close Circle to the Left

200

Solve and Graph:

 x/5 + 13 ≤ 15

X ≤ 10

Close Circle to the left

200

Solve and Graph:

-2/5 x - 3 > -7

X < 10

Open circle to the left

200

WRITE AN INEQUALITY:

Darian wants to spend no more than $50 at the store.

x ≤ 50

300

Graph: 

-10 ≤ d

Close circle to the right

300

Solve and Graph:

42 < 8X + 10

X > 4

Open Circle to the right

300

Solve and Graph:

-0.5x-8.4<-6.3

x > -4.2

Open circle to the right

300

WRITE AND INEQUALITY:

The Washington family is planning a trip to an amusement park. It will cost them $355 to travel, plus $105 per day, X, for park tickets. What is the greatest number of days the family can attend the amusement park while staying within a $800 budget?

355 + 105x ≤ 800

400

Graph:

-15 + 8 < w

w > -7

Open circle to the Right

400

Solve and Graph:

-10X + 60 ≥ 80

X ≤ -2

Close Circle to the left

400

-2.5x+8.75≥12.5

x≤-1.5

Close Circle to the right

400

WRITE AND INEQUALITY:

The school’s fundraising committee is hosting a BBQ dinner. They sell meal tickets for $8.50 per dinner, X, and receive $200 donation. How many meal tickets will they sell in order to raise at least $2,000?

8.50x + 200 ≥ 2,000

500

Graph:

e ≤ -1/2 + 3/4

e ≤ 1/4

Close circle to the left

500

Solve and Graph:

17 > x/-2 + 11

x < 4

Open circle to the left

500

Solve and Graph:

1/7(28x-14)<14

x < 4

Open circle to the right

500

WRITE AN INEQUALITY:

The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour, X, for the remainder of the day. How many hours will it take for there to be more than 5 inches of rain?

1.5 + 0.5x > 5

M
e
n
u