Notation...
Applications of Inequalites/Words
Solving and Graphing Multi-Step Inequalities
Grab Bag
Is it a solution?
100

Graph x > 6

(6,∞ )

100

Write an inequality to fit the following situation: Michael plays at least 4 hours of video games a weekend.

m ≥  4

100

Solve:

4(2x - 6) < 0

x<4

100

Translate to algebraic expression & SOLVE

the product of two and a number less than ten is fifty

10-2x=50

x=-20

100

Brantley solved an equation and got 

1= -1

What would be his answer

No solution


200

Write in interval notation

x≥ 2

[2,∞ )

200

Johanna has $42 in her lunch account. If lunches cost $2.50, at most, how many lunches can she get?

Write the inequality...don't need to solve

2.50L≤ 42

200

Solve:

-2 (x + 4) > 6

x<-7

200

Solve and write in interval notation

-2-(x+4)>2x+6

x>0

(0,∞ )

200

Sam solved an inequality and ended with 

0≥ 0 

What is his conclusion?

Infinite solutions

300

Write in interval notation

n≤ -1

(-∞,-1] 

300

Matt started his own video game rental service. His service charges $10 for a membership with a $7.50 rental fee for each game. Shayden has $40 when he walks into Matt's Video Game Rental Co-Op. What is the maximum number of games Shayden can rent?

Write the inequality and solve.

10+7.50m≤ 40

m≤ 4

4 or less games could be rented


300

Solve and write in interval notation

3n - 5< -8(6 + 5n)


n > -1

(-1,∞ )

300

What is Miss White's cats names....she has 3

Must get 2 of the 3 right :)

Diet Coke, Ketchup, and Oreo

300

If you solved and ended with 

x<-1

Select all values that are possible solutions

0, -1, 2, 10, -3, -20

-3,-20

400

Write in interval notation

 -4 > y

*hint write it with y on left before doing interval notation


(-∞ ,-4)

400

Ali and Allie started a business doing other students homework. They charge a flat rate of $4 plus an additional $2 per homework assignment. If a student can spend at most $10, how many homework assignments can the student have done for them?

Write inequality and solve

At most, 3 homework assignments.

4+2h ≤ 10

h≤ 3

400

Solve 

14-6x≤ 2(7-3x)

Infinite solutions

0≤ 0

400

Why was the fraction skeptical about measuring the decimal???

because he would have to convert :)

400

If you solved and ended with 

x≥ 6

Select all possible solution values:

-1, 0, 6, 7, 10

6, 7, 10

500

How would you write Infinite solutions or all numbers in interval notation?

*Whole number line would be shaded if graphing on number line

(-∞ ,∞ )

500

Marissa and Shaylee are comparing cell phone plans. Marissa's plan charges $25 a month plus $0.10 per 1 GB of data used. Shaylee's cell phone plan charges $15 per month and an additional $0.15 per 1 GB of Data used. How many gigs of data need to be used for Shaylee's plan  to cost more?

Write inequality and solve...

Shaylee needs to use 200 GB of data for her plan to be more expensive.

15+.15x>25+.10x

x>200

500

4p+3>9p+6-5p

0>3

No solution

500

Why was the = sign so humble....

he knew he wasn't > or < anyone else

500

-4(x-3)<12

solve and select all possible values for solutions from:

0, 1, -1, 5, -10, 7

x>0

1, 7, 5

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