Answer:
35 students in the class.
Step-by-step explanation:
If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)
Now, there are 14 students how are wearing glasses.
We just times the whole Equation 1 by 7.
If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.
So, there are 35 students.
Given:
The compound inequality is:

To find:
The integer solutions for the given compound inequality.
Solution:
We have,

Case 1: 


...(i)
Case 2: 

...(ii)
Using (i) and (ii), we get

The integer values which satisfy this inequality are only 3 and 4.
Therefore, the integer solutions to the given inequality are 3 and 4.
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
6+4• (5-7)^2
(5-7)^2
-2^2
4
6+4+4
=14