Question

Solve the inequality –b < 4. A. b < –4 B. b < 4 C. b > 4 D. b > –4

Answer 1

Hi there!

When working with symbols like <, we can treat them like an equal sign when isolating a variable. That means we can divide, multiply, subtract or add when moving parts of the term over the < sign (like the equal sign).

-b<4
(Treat -b like a -1 when dividing, since that is the variable's coefficient)
(-b/-1)<(4/-1)
b<-4
We also switch the sign because we are working with a negative (it is the opposite of before).
b>-4
The answer is therefore D.

Hope this helps!

Answer 2

-b<4

You need to take the negative away from b. This is like dividing both sides by -1. You would switch the sign as well since you are dividing by a negative.

b>-4

"D" is the correct answer.

I hope this helps!
~kaikers