Answer:
The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything inbetween.
Step-by-step explanation:
So to start off I would always give placeholder for all the sides. Lets label it x.
2(x+5) + 2(x+3) < 3(4x)
In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.
2x + 10 + 2x + 6 < 12x
4x + 16 < 12x
16 < 8x
2 < x
We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.
Now we repeat, just instead of 3 its 2 and instead of less than its greater than.
2x + 10 + 2x + 6 > 8x
4x + 16 > 8x
16 > 4x
4 > x
So your answer is between 2 and 4.
