133ExerciseSet2.6
Chapter2: ElementaryandIntermediateAlgebra:GraphsandModels
The solution set is r | 3 r , or r | r 3 , or 3, .
94.
5 t 3 9 3t 2 6 5t 15 9 3t 6 6
27 x 16.5 Simplifying 270 x 165 Multiplying by 10 165 x Multiplying by 1 270 270 11 x Simplifying
Distributive Law
18
Simplifying
5t 24 3t 5t 24 24 3t 24
2t 24 t 12
11
Adding 24
5t 3t 24 5t 3t 3t 24 3t
The solution set is
Simplifying Adding 3t
98.
2 7 3
Simplifying
The solution set is t | t 12 , or 12, . 2 x 1 10 2 x 1 3 10 Multiplying by
2 3
3
2
8
4x
5
8
3
Multiplying by 24 8
Distributive Law
64 x 10
Multiplying by
x 1 2
x
Simplifying 10 1 Multiplying by 64 64 and reversing the inequality symbol 5 Simplifying 32
The solution set is x x
3x 4 20 3x 4 5 20
4 5
24 8
4 5
5 4
8
16 78 4 x 15 9
2
The solution set is x | x 8 , or 8, . 96.
Multiplying by
5
5
4
4
Multiplying by
The solution set is x | x 7 , or , 7 .
5 , or 32
, . 32
3x 4 25 Simplifying 3x 4 4 25 4 Adding 4 3x 21 Simplifying x 7
11 . 18
3
2 x 1 15 Simplifying 2 x 1 1 15 1 Adding 1 2 x 16 Simplifying x 8
, or , 18
14 64 x 15 9 Distributive Law 64x 1 9 Simplifying 64x 1 1 9 1 Adding 1
2 3
5
8
7
3
2
3 2
4x
xx
1
Multiplying by
24 2
95.
133
1 3
99. Thinking and Writing Exercise. No, because the inequality x 3 also includes all x- values greater than 3 that are less than 2 . 100. Thinking and Writing Exercise. The solution set of the first inequality is t | t 7
and