SOLUTION: How many integer d will satisfy the inequality 2<3d-4<11

Question 1143823: How many integer d will satisfy the inequality 2<3d-4<11
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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2 < 3d - 4 < 11    ====>


Add 4 to all three terms. You will get an equivalent inequality


2 + 4 < 3d < 11 + 4


6 < 3d < 15


Divide by 3 both sides. You will get an equivalent inequality


2 < d < 5.


The solutions in integer numbers are d= 3  and  d= 4.


They are the only solutions.


ANSWER.  There are exactly two integer numbers satisfying given inequality.

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