Help me find the answer and show me how to find please.

we will write the inequality in a compact form since it is intersection case

1< 3x - 2 ≤ 10

3 < 3x ≤ 12 by adding 2 to all sides

1 < x ≤ 4 by dividing all sides by 3

( 1 , 4 ] the answer written in interval notation