How many integer values x satisfy the inequality 2<3x−1/6<5?

Answer 1

2<3x−1/6<5
add 1/6 to each part
2+1/6 < 3x < 5+1/6
13/6 < 3x < 31/6
divide by 3
13/18 < x < 31/18

Answer 2

oops, didn't notice the "integer" part till now.

appr .72 < x < appr 1.72

the only integer between .72 and 1.72 is the number 1

So there is one integer that satisfies the inequality