Question

A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Which system of inequalities and graph represents the possible dimensions of the garden?

Answer 1

The length of the garden should be at least 110 ft
That means the length must be 110 or more. You write this as
L≥ 110 (L stands for length)
or
110≤ L

distance around should be no more than 380 ft.

It is a rectangle (they told you) and the length around is 2W+2L (formula for the perimeter, or pretend you walk around and add up the distance)
(W stands for width)

no more than means 380 or less. you write this as
2W+2L ≤ 380

you could divide both sides by 2 (divide every term), so this might also be written as
W+L ≤ 190

Answer 2

The graph will depend on how you label the axes.