Algebra Demystified 2nd Ed

332 algebra De mystif ieD

Solve the double inequality and give the solution in interval notation.

16 < 4(2x - 1) ≤ 20

 ( )

16 42 120

16 8420

444

20

<≤

<≤

+++

x

x

• 
  


• 
  

<<≤

<≤

<≤ 







824

20

8

8

8

24

8

5

2

3 5

2

3

x

x

x

, 

Solve the double inequality and give the solution in interval notation.

-< 2 -^1 -<

2

() 45 x 2

-<- -<

-<-+<

---

-<-<-

2 1

2

452

225

2

2

5

2

5

2

5

2

9

2

2 1

2

()

x

x

x

()

• ⋅- >- ->- ⋅-

>> <<

1

2

9

2

1

2

2 1

2

1

2

9

4

1

4

1

4

9

4

1

x

xxor

44

9

4

 , 







Solve the double inequality and give the solution in interval notation.

2 51

4

< x- < 6