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Solving Inequalities Worksheet: Algebra 2, Study notes of Algebra

American University in the Emirates (AUE)Algebra

Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra ... Solving Inequalities. Solve each inequality and graph its solution. 1) 0 > 3x − 3 − 6.

Typology: Study notes

2021/2022

Uploaded on 09/07/2022

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Solving Inequalities
Solve each inequality and graph its solution.
1) 0 >
3
x
− 3 − 6
−2−1012345678
2)
4
x
+ 1 − 1 ≥ −8
−5 −4 −3 −2 −1 0 1
3) −1 ≤
2
n
+ 4 − 5
−2 −1 0 1 2 3 4
4) −6 >
5
n
+ 5 + 4
−7 −6 −5 −4 −3 −2 −1 0 1 2
5) 0 ≤
2
n
+ 3
n
−5 −4 −3 −2 −1 0 1 2
6)
2
p
− 4
p
≤ −2
−4 −3 −2 −1 0 1 2 3 4 5
7) 7 <
−
(
−
k
− 3
)
+ 2
−3 −2 −1 0 1 2 3 4
8)
3 −
2
(
n
− 4
)
> −1
345678
9)
−5
(
1 − 4
a
)
> −5
−4 −3 −2 −1 0 1 2 3 4
10)
−2
(
b
+ 1
)
+ 4 < 10
−8 −7 −6 −5 −4 −3 −2 −1 0 1
-1-
pf3
pf4

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Download Solving Inequalities Worksheet: Algebra 2 and more Study notes Algebra in PDF only on Docsity!

©L B 2 Q 0 A 1 Y 1 c lKnu 0 tTav 6 SVohfEtvwvabrreO HLbL 9 CT.o G tALlMl 1 hr 1 ifg 1 hFtLsv XrCeAsOe 7 rjvieZdK.V D 1 M 6 a 7 dDej 1 wti 1 tQhQ vInntfyiDn 5 iqt 5 e 6 CAEl 5 gPejburXad 82 Y.Q Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Solving Inequalities Date________________ Period____

Solve each inequality and graph its solution.

  1. 0 > 3 x − 3 − 6 −2 −1 0 1 2 3 4 5 6 7 8
  2. 4 x + 1 − 1 ≥ − −5 −4 −3 −2 −1 0 1
  3. −1 ≤ 2 n + 4 − 5 −2 −1 0 1 2 3 4
  4. −6 > 5 n + 5 + 4 −7 −6 −5 −4 −3 −2 −1 0 1 2
  5. 0 ≤ 2 n + 3 n −5 −4 −3 −2 −1 0 1 2
  6. 2 p − 4 p ≤ − −4 −3 −2 −1 0 1 2 3 4 5
  7. 7 < −(− k − 3)^ + 2 −3 −2 −1 0 1 2 3 4
  8. 3 − 2 ( n − 4)^ > − 3 4 5 6 7 8
  9. −5(1 − 4 a ) > − −4 −3 −2 −1 0 1 2 3 4
  10. −2( b + 1) + 4 < 10 −8 −7 −6 −5 −4 −3 −2 −1 0 1 -1-

©j A 2 b 0 i 1 J 1 b IKSu 9 tWaC iSooRfftfwKayrLeq PLpLnCZ.S z 9 AelPlj XrViKg 5 hmtRsB frieHsnejrrv 2 ecdE.o O 7 M 6 atdzeK owZiftah 7 3 IDn 9 f 2 iXn 2 iNtdey jAnlzgSeEbnrxaG Z 2 P.H Worksheet by Kuta Software LLC

  1. a − 15 > −4(−6 + 3 a )
  1. 3 ( 6 b − 1) > 18 − 3 b
  1. 26 + m ≥ 5 (−6 + 3 m )
  1. 20 − 2 p > −2(^ p + 2)^ + 4 p
  1. x + 1 + 1 + 6 x > 3 ( x − 4)^ − ( x − 4)
  1. −6(1 + 6 x )^ < 6 (1 − 5 x )
  1. 2 (1 − 4 r )^ < −2( r + 3)^ − 4
  1. −6(1 + 2 x )^ ≥ 6 ( 2 x − 1)^ + 2 x
  1. −2(1 − 5 x ) > −( x + 1) − 1
  1. 5 x − ( x + 2) > −5(1 + x ) + 3

Critical thinking questions:

  1. Write an inequality with x on both sides whose solution is x ≥ 2
  2. Name one particular solution to question #20. -2-

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  1. a − 15 > −4(−6 + 3 a )
  1. 3 ( 6 b − 1) > 18 − 3 b
  1. 26 + m ≥ 5 (−6 + 3 m )
  1. 20 − 2 p > −2(^ p + 2)^ + 4 p
  1. x + 1 + 1 + 6 x > 3 ( x − 4)^ − ( x − 4)
  1. −6(1 + 6 x )^ < 6 (1 − 5 x )
  1. 2 (1 − 4 r )^ < −2( r + 3)^ − 4
  1. −6(1 + 2 x )^ ≥ 6 ( 2 x − 1)^ + 2 x
  1. −2(1 − 5 x ) > −( x + 1) − 1
  1. 5 x − ( x + 2) > −5(1 + x ) + 3

Critical thinking questions:

  1. Write an inequality with x on both sides whose solution is x ≥ 2 Many answers. Ex: 2 x ≥ x + 2
  2. Name one particular solution to question #20. Any number greater than zero. Ex: 4. -2- Create your own worksheets like this one with (^) Infinite Algebra 2. Free trial available at KutaSoftware.com