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2.4 Practice

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Select the inequality that matches the graph

a)

x > 4

b)

x < 4

c)

x≤4x\le4

d)

x≥4x\ge4

2.

Is 7 a solution to this inequality?  −3x>18-3x>18  

a)

Yes

b)

No

3.

Solve and select the answer  x−10>12x-10>12  

a)

 x≤12x\le12  

b)

 x<22x<22  

c)

 x≤−22x\le-22  

d)

 x>22x>22  

4.

 −4x<20-4x<20  Solve and select the answer

a)

 x≥5x\ge5  

b)

 x>−5x>-5  

c)

 x<−80x<-80  

d)

 x<−16x<-16  

5.

 4x−9≤204x-9\le20  Solve the inequality

a)

 x≤7.25x\le7.25  

b)

 x≤2−75x\le2-75  

c)

 x≥−5x\ge-5  

d)

 x=20x=20  

6.

 x8−7+10≤11\frac{x}{8}-7+10\le11  Solve the inequality

a)

 x≤11x\le11  

b)

 x≤64x\le64  

c)

 x≥112x\ge112  

d)

 x>1x>1  

7.

Solve the inequality    −17≥2(x+9)-17\ge2\left(x+9\right)  

a)

 −17.5≥x-17.5\ge x  

b)

 −28≥x-28\ge x  

c)

 −13≤x-13\le x  

d)

 −17<x-17<x  

8.

 4x−8<2x+104x-8<2x+10  Solve the inequality

a)

 x<3x<3  

b)

 −3<x-3<x  

c)

 x>−9x>-9  

d)

 x<9x<9  

9.

 3(x+7)<2x−103\left(x+7\right)<2x-10  Solve the inequality

a)

 x>8x>8  

b)

 0.6<x0.6<x  

c)

 6.2<x6.2<x  

d)

 x<−31x<-31  

10.

 5x<3−4x5x<3-4x  Find and analyze the error:

a)

 They should have added 4x.  The answer is x<3.They\ should\ have\ added\ 4x.\ \ The\ answer\ is\ x<3.  

b)

 They should have added 4x.  The answer is x<13They\ should\ have\ added\ 4x.\ \ The\ answer\ is\ x<\frac{1}{3}  

c)

 They should have combined 3−4x.  The answer is x<−15They\ should\ have\ combined\ 3-4x.\ \ The\ answer\ is\ x<-\frac{1}{5}