Question

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.

Answer 1

It wold be i mean i think its the 3 one

Answer 2

Answer:

The correct option are C and E.

Step-by-step explanation:

Let x be the total weight of the cup in ounces.

It is given that the cup is filled with 4 oz. of yogurt before any toppings are added. So, the initial weight of the cup must greater than or equal to 4.

$x\geq 4$  ........(1)

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

So, the weight of the cup cannot be more that 6

$x\leq 6$ ........(2)

On combining (1) and (2). We get

$4\leq x\leq 6$

The acceptable weights for the frozen yogurt is represented by the inequality $4\leq x\leq 6$.

It means option C is correct and options A, B and D are incorrect.

In option E,

$|x-5|\leq 1$

$-1leq x-5\leq 1$

Add 5 on each sides.

$4 leq x\leq 6$

Option E is correct.

In option F,

$|x-2|\leq 6$

$-6 leq x-2\leq 6$

Add 2 on each sides.

$-4 leq x\leq 8$

Option F is incorrect.

Therefore, the correct options are C and E.