Question

workers at a hardware store take their morning break no earlier than 10am and no later than noon let b represent the actual time they take their break

Answer 1

"<" means the number on the left is smaller than the number on the right;

10am < b < 12pm

In this case that means "b" would be in between these times

Answer 2

Answer:

Time they take their break = b

$b > 10.00\\b\leq 12.00\\10.00 < b \leq 12.00$

Step-by-step explanation:

The problem shows that workers can take a morning break. We can represent the time of morning break with b.  

Let's express the time as real numbers. So 10 am or 10:00 will be 10.00.

Non 12:00 m will be 12.00.

The problem shows that morning break should not be earlier than 10 am. It means b should be strictly greater than 10.00 b > 10.00.

The problem mentions that morning break should not be later than noon. it means b should be less or equal than 12.00 b $\leq$ 12.00

Now, if we join both intervals

$b > 10.00\\b\leq 12.00\\10.00 < b \leq 12.00$