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