Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.