Final answer:
The inequality representing the value of base b for a triangular garden with an area less than 35 square feet is b < (70/h), where h is the height of the triangle. Once we know the height, we can solve for the base b.
Step-by-step explanation:
To determine the value of b, the base of the triangular garden, given that its area must be less than 35 square feet, we can start by writing down the formula for the area of a triangle which is A = 1/2 × b × h, where A is the area, b is the base, and h is the height. Assuming we have a specific height, let's call it h, we want to find the maximum value of b that will keep the area less than 35 square feet.
In an inequality form, this scenario is represented as:
1/2 × b × h < 35
If we know the value of h, we can solve for b as follows:
b < (35 × 2) / h
Once you have the value for h, plug it into the inequality to solve for b.