Algebra 1 help please

Question

Natasha wants to plant a square garden and enclose it with a fence. She has 120 feet of fencing available and she wants the sides of her garden to be at least 6 feet long. Write and solve an inequality that describes the side lengths that are possible.

Answer 1

a square garden => all the sides are x ft,

120 feet of fencing available => perimeter is maximum 120 ft

P <= 120

4x = P <= 120

the sides of her garden to be at least 6 feet long => x >= 6

4x<= 120 => x <= 30 and x>= 6

So, 6<= x <= 30

Answer 2

Call the length of a side of the garden x. Since it is a square garden, all sides are the same length. We know that she wants the sides to be at least 6 feet long, so x >= 6.

Now we need to determine the maximum length a side can be. She has 120 feet of fencing divided by 4 equal sides so the maximum length of a side is x <= 30.

By combining this information we have the inequality:

6 <= x <= 30