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HW1 Inequalities Practice

Total questions: 6

Worksheet time: 3mins

Name
Class
Date
1.

Solve the inequality.

 1−3x+7≥201-3x+7\ge20  

a)

 x≤−2x\le-2  

b)

 x≥4x\ge4  

c)

 x≤−4x\le-4  

d)

 x≥2x\ge2  

2.

Graph the solution set for the inequality.

 −5k−8k>13-5k-8k>13  

a)
b)
c)
d)
3.

Which of the following are solutions to the inequality? SELECT ALL THAT APPLY.

 −(−1−2m)+7(4+2m)<−35-\left(-1-2m\right)+7\left(4+2m\right)<-35  

a)

 00  

b)

 −5-5  

c)

 55  

d)

 −132-\frac{13}{2}  

e)

 8.48.4  

4.

Identify the graph of the solution set for the inequality.

 10≤10+3r<3710\le10+3r<37  

a)
b)
c)
d)
5.

Which of the following are solutions to the compound inequality? SELECT ALL THAT APPLY.



 2b+5≥−5 or 6b+5≤−372b+5\ge-5\ or\ 6b+5\le-37  

a)

 −814-8\frac{1}{4}  

b)

 −6.21-6.21  

c)

 −5-5  

d)

 00  

e)

 4141  

6.

Which of the following inequalities have the same solution set graphed above? SELECT ALL THAT APPLY.

a)

x2>1 or x+1≤1\frac{x}{2}>1\ or\ x+1\le1

b)

0≤x<20\le x<2

c)

x≤0 or x>2x\le0\ or\ x>2

d)

4x+5≤5 or −3x<−64x+5\le5\ or\ -3x<-6