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Solving Inequalities by +-*/
Multi-Step Inequalities
Complex Inequalities
Open Sentences with Absolute Value
MISC
100
Solve the inequality 5y + 8 > 4y - 3.
What is y<-11?
100
Solve -2(y - 2) < 2(y - 4).
What is y > 3
100

3x+5≤11

x≤6

100

∣x−3∣=5

x=8x  or x=−2x  

100

How many hearts does an octopus have?

3

200
Graph the solution of q – 27 < -19.
see graph
200

2x+4≤10

x≤3

200

3(x+5)−2x>7 

-5 < x < 5

200

∣2x+4∣=8

x=2 or x=−6x  

200

What is older? Trees, Sharks, or Robbinsville

Sharks

300
Solve and graph. x-3>-2.
What is x>1, see graph.
300

3x−5>7

x>4

300

5−2(3x+4)<3x−1

x>−9/2 or 4 1/2

300

∣x+6∣=2

x=−4 or x=−8

300

How many years can a snail sleep?

3 years

400
Solve 22p > 198.
What is p > 9
400

4(x−2)+6≥18

x≥5

400

2(x+3)−4(x−1)≥6

x≤2

400

∣x+3∣>6

x>3 or x<−9

400

What animal can actually laugh: 

Cats, Sloths, Rats, or Giraffes?

Rats

500
Solve –15k > -120.
What is k < 8
500

2(3x−1)−4x<10

 x<6

500

3(x−1)+5≤2(x+4)−3

x≤3

500

∣3x−1∣=7

x=8/3 or x=−2

500

How many people live in Robbinsville?

15, 361 people as of 2022