We have been given that a country's mint has a rule that the weight of a certain coin must be within 0.002 gram of 3.00 grams to be released into circulation.
Upon expressing this information on an inequality, we get the diagram as shown in the attached file.
We can express it as an inequality as shown below:
[tex]\left | x-3 \right |\leq 0.002[/tex]
where x represents the weight of a coin that the country's mint will allow to be released into circulation.
Upon solving this inequality, we get:
[tex]\left | x-3 \right |\leq 0.002\\\-0.002\leq x-3\leq 0.002\\3-0.002\leq x\leq 3+0.002\\2.998\leq x\leq 3.002\\[/tex]
Therefore, least weight of a coin is 2.998 and greatest weight of coin is 3.002.
