Answer :
Final answer:
The solution to the inequality '82 less than a is at least -82' is 'a ≥ 0'.
Explanation:
To translate and solve the given problem, we need to set up an inequality using the given information. Let's denote the unknown variable as 'a'. '82 less than a' can be written as 'a - 82', and 'at least -82' is represented as '≥ -82'. So, the inequality becomes 'a - 82 ≥ -82'.
To solve this inequality, we need to isolate the variable 'a'. First, let's add 82 to both sides of the inequality: 'a - 82 + 82 ≥ -82 + 82'. Simplifying, we get 'a ≥ 0'.
Therefore, the solution to the inequality '82 less than a is at least -82' is 'a ≥ 0'. This means any value of 'a' that is greater than or equal to 0 satisfies the given condition.
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