d-3<6d+12<2d+32

 

 These are two inequalities d-3<6d+12 and 6d+12<2d+32

 

Solving d-3<6d+12, it would be -15<5d, Or -3<d

 

Solving 6d+12<2d+32, it would be 4d< 20, Or d<5

 

Hence it is -3<d<5.  On the number line it can be represented as

 

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