Question

How do you write and solve an inequality represents the values of x for which the area of the rectangle will be at least 35 square feet?

Answer 1

`x >= 35/w` where `w > 0` is the width of the rectangle (assuming `x` is the length)

Explanation:

There really is not enough information here. You have not indicated how `x` is related to the rectangle.

Perhaps (as an alternative to the assumption I made [above]), you meant for `x > 0` to be the length of one side of a square.
In this case:
`color(white)("XXX")x^2 >= 35`
`color(white)("XXX")rarr x >=sqrt(35)`