To solve this inequality, first we apply the multiplication on both sides of the inequality:
-1/4(d+1) < 2
by multiplying by 4,
we have:
-1(d+1) < 8
then by multiplying by -1 ,
we change the sign of the inequality:
d+1 > -8
By subtracting 1 from both sides of the inequality, we have:
d > -9
The answer to the inequality is
d > -9.