What values of b satisfy 32b < 32 < 36?

To solve the inequality 32b < 32 < 36, we need to break it down into two parts.

First, let’s consider the left part: 32b < 32.

We can simplify this by dividing both sides by 32 (assuming b is not negative, as we are dealing with inequalities):

   32b < 32
   b < 1

This tells us that b must be less than 1.

Next, let’s look at the right part: 32 < 36.

This part does not impose any restrictions on b since it is always true.

Combining both parts, we conclude that b must be less than 1. Therefore, the final answer is that the values of b that satisfy the original inequality are:

b < 1