Question

What are the integer solutions to the inequality below? 3 < 3 x − 1 < 2 x + 6

Answer 1

Answer:

4/3<x<7

Step-by-step explanation:

Given the inequalities

3 < 3 x − 1 < 2 x + 6

Add 1 to all sides

3+1 < 3x-1+1<2x+6+1

4 < 3x < 2x + 7

Split

4 < 3x

3x > 4

x > 4/3

4/3 <x

Also

3x < 2x + 7

3x-2x < 7

x <7

Combine

4/3<x<7

Hence the required solution is 4/3<x<7