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Multi-Step Inequalities (Unit 2.5 HW - Day 2)

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

3<m+2−43<m+2-4  

a)

m > 19

b)

m > 5

c)

m < -11

d)

m < -19

2.

6b+5b>116b+5b>11  

a)

b)

c)

d)

3.

−1≥3+4n−5n-1\ge3+4n-5n  

a)

n≥−8n\ge-8  

b)

n≤4n\le4  

c)

n≥−10n\ge-10  

d)

n≥4n\ge4  

4.

−2x+2+4<0-2x+2+4<0  

a)

b)

c)

d)

5.

4+5x−6<−124+5x-6<-12  

a)

b)

c)

d)

6.

−k−5>4(−5k−6)-k-5>4\left(-5k-6\right)  

a)

k > 5

b)

k < -5

c)

k < -1

d)

k > -1

7.

x−16≥4x+8(−3x−2)x-16\ge4x+8\left(-3x-2\right)  

a)

x≤0x\le0  

b)

x>0x>0  

c)

x≥0x\ge0  

d)

x≥−38x\ge-38  

8.

−(−8n+6)+2≥7n-\left(-8n+6\right)+2\ge7n  

a)
b)
c)
d)
9.

19−6p≥−5p−8(2p+7)19-6p\ge-5p-8\left(2p+7\right)  

a)

b)

c)

d)

10.

−(1+8a)<9−3a-\left(1+8a\right)<9-3a  

a)

a > -2

b)

All Real Numbers

c)

a > -14

d)

a > -21

11.

7k −(9k+10)≤−(−4−k)−57k\ -\left(9k+10\right)\le-\left(-4-k\right)-5  

a)

k≤−3k\le-3  

b)

k≥−3k\ge-3  

c)

k≥4k\ge4  

d)

k≥−24k\ge-24  

12.

11(−10b−6)>11b−11(1+6b)11\left(-10b-6\right)>11b-11\left(1+6b\right)  

a)

b < -1

b)

b > -1

c)

No Solutions

d)

b > -23

13.

−5 − (−4a+1)>5(9a+7)-5\ -\ \left(-4a+1\right)>5\left(9a+7\right)  

a)

b)

c)

d)

14.

8(2v−8)≥−10(v−4)8\left(2v-8\right)\ge-10\left(v-4\right)  

a)

v≥−36v\ge-36  

b)

v≥4v\ge4  

c)

v≥−60v\ge-60  

d)

v≤−60v\le-60  

15.

−11p+2(p−1)≤−10(3+p)+10-11p+2\left(p-1\right)\le-10\left(3+p\right)+10  

a)

b)

c)

d)