Problem

Translate the sentence into an inequality.
A number $y$ divided by 3 is at most -28 .

Answer

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Answer

Final Answer: The inequality is \(\boxed{y \leq -84}\).

Steps

Step 1 :Translate the sentence into an inequality. The sentence is 'A number y divided by 3 is at most -28'. This can be translated into an inequality where y is the variable, 3 is the divisor, and -28 is the maximum value that the expression can take.

Step 2 :Set up the equation as \(\frac{y}{3} = -28\).

Step 3 :Solve the equation for y to get \(y = -84\).

Step 4 :However, the original sentence stated that y divided by 3 is 'at most' -28, which means that y can be less than or equal to -84.

Step 5 :Final Answer: The inequality is \(\boxed{y \leq -84}\).

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