Set up each situation and simplify if possible. then, choose all situations that are best modeled by a rational inequality. the miles driven in a car going 65 miles per hour for t hours is greater than 250 miles. the width of a rectangle with a length of and an area of must be greater than zero. the length of a rectangle with an area of and a width of is 10 units. the quotient of and is five or less. the sales, s, of a new video game for the day after its release is given by . the daily sales is more than $1,000.

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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