Posted by **Ian** on Monday, April 15, 2013 at 3:19am.

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

- Maths -
**Reiny**, Monday, April 15, 2013 at 8:07am
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

- Maths -
**Reiny**, Monday, April 15, 2013 at 8:10am
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

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