Final answer:
The phrase 'is at most eight' means that the expression is less than or equal to 8. Therefore, the correct inequality is 2r + 6 < 8. The correct inequality is 2r + 6 < 8.
Step-by-step explanation:
The correct inequality is option A: 2r + 6 < 8.
To determine the inequality that best represents the given statement, we need to translate the given information into an algebraic expression.
The phrase 'Twice a number increased by 6' can be represented by the expression 2r + 6, where 'r' represents the unknown number.
The phrase 'is at most eight' means that the expression is less than or equal to 8. Therefore, the correct inequality is 2r + 6 < 8.