Question

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

Answer 1

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

.7222 < x < 1.722

the only integer between .722 and 1.722 is the integer 1
So there is only one integer satisfying the inequality.

Answer 2

Wrong answer