If the inequality above is true for the constant a, which of the following could be a value of x?

Rationale

a/6 - 1 could be a value of x.

To satisfy the inequality involving the constant a, the expression a/6 - 1 is a potential value for x that maintains the required conditions established by the inequality.

A (a/6) YOUR ANSWER

This choice represents a value equal to a divided by 6, which does not account for the necessary adjustment indicated by the inequality. Depending on the specific inequality, this value could potentially exceed or fall short of satisfying the conditions set for x.

B (a/6- 1) CORRECT

This value is a direct subtraction from a/6, effectively lowering the value of x by 1 unit. If the inequality dictates that x must be less than or equal to a/6, then this option will satisfy that requirement and is thus a valid candidate for x.

C (a/6- 3) YOUR ANSWER

While this choice also subtracts from a/6, the subtraction of 3 may render the value of x too low, depending on the context of the inequality. It risks falling outside the permissible range established by the inequality, making it less likely to satisfy the condition compared to option B.

D (a - 4/6) YOUR ANSWER

This expression simplifies to a - 2/3, which does not relate directly to a/6. Depending on the value of a, this could yield a value significantly higher than a/6, likely invalidating it as a potential solution to the inequality.

Conclusion

The valid option for x that adheres to the constraints of the inequality is a/6 - 1, as it represents a decrement from a/6 while remaining within bounds. The other options either exceed the upper limit or fall too low, thus failing to fulfill the conditions needed for x. Understanding the relationship between these expressions and the inequality is essential for identifying permissible values.

If the inequality above is true for the constant a, which of the following could be a value of x?

a/6 - 1 could be a value of x.

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