Chapter 9 linear inequaliTieS 331
Because we want to solve for x, we divide all three quantities by 2.
42 12
4
2
2
2
12
2
2626
≤≤
≤≤
≤≤
x
x
x [, ]
Solve the double inequality and give the solution in interval notation.
6 ≤ 4 x – 2 ≤ 10
We begin by adding 2 to each quantity and then dividing each quantity
by 4.
64210
222
8412
8
4
4
4
12
4
2323
≤-≤
+++
≤≤
≤≤
≤≤
x
x
x
x [, ]
Solve the double inequality and give the solution in interval notation.
-<-+< 62 x 31
-<-+<
---
-<-<-
>-
>-
6231
333
92 2
9
2
2
2
2
2
9
2
x
x
x
x>><<
11 9
2
19
2
or x ,
Solve the double inequality and give the solution in interval notation.
73 ≤+<x 74
7374
777
03 3
0
3
3
3
3
3
01
≤+<
---
≤<-
≤<-
≤<-
x
x
x
x [[, 01 )-