If 2(b + 1) < -6, then

a. b -4
b. b > -4
c. b < -7/2
d. b > -7/2

2b + 2 < -6

2b < -8

b < -4

2(b+1) < -6

b+1 < -3
b < -4

choice (a) assuming a typo

To solve the inequality 2(b + 1) < -6, we need to isolate the variable b.

First, let's simplify the left side of the inequality by distributing the 2:

2b + 2 < -6

Next, let's subtract 2 from both sides to get rid of the constant term on the left side:

2b < -8

Now, divide both sides of the inequality by 2 to solve for b:

b < -8/2
b < -4

So the correct answer is:

c. b < -4