what is the solution to the compund inequality

2
,3x-1<=5

1 answer

To solve the compound inequality 2 < 3x - 1 <= 5, we need to solve two separate inequalities and combine the solutions.

First, let's solve the inequality 3x - 1 <= 5:
3x - 1 <= 5
Add 1 to both sides:
3x <= 6
Divide both sides by 3:
x <= 2

Now, let's solve the inequality 2 < 3x - 1:
2 < 3x - 1
Add 1 to both sides:
3 < 3x
Divide both sides by 3:
1 < x

Combining the solutions, the compound inequality is: 1 < x <= 2.