At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. after the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. which of the following represent the acceptable weights for the frozen yogurt options? select all that apply: a.) 0 < x ≤ 6 b.) 0 < x ≤ 3 c.) 4 ≤ x ≤ 6 d.) x ≤ 6 e.) |x - 5| ≤ 1 f.) |x - 2| ≤ 6

The correct answer is C.) 4 ≤ x ≤ 6

Step-by-step explanation:

Let the total weight of the cup be x ounces.

As given The cup is filled with 4 oz. of yogurt before any toppings are added.  

So, the initial weight of the cup be 4

⇒ 4 ≤ x (1)

When toppings are added, they are allowed up to a total weight of 6 oz.

So, the weight of the cup cannot exceed 6

⇒ x ≤ 6 (2)

By combining (1) and (2). We get,

4 ≤ x ≤ 6

This means that any weight between, and including, 4 and 6 oz. is acceptable.

Hence, The correct option is C.) 4 ≤ x ≤ 6

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