Final answer:
The inequality presented by Mrs. Harris, 2/9 > x > 12, is incorrect and cannot have a valid solution as it stands. A correct inequality would not suggest that x is both greater than 12 and less than 2/9 simultaneously. Clarification on the correct form of the inequality is necessary to determine the valid values of x.
Step-by-step explanation:
The student asked which value of x would make the inequality 2/9 > x > 12 true. However, the inequality presented is incorrect as it suggests that x is simultaneously greater than 12 and less than 2/9, which is not possible. A correct inequality should have x confined between two numbers, where one is less than the other.
The student may have meant to write 2/9 < x < 12 or x > 12 or x < 2/9, but as the question stands, none of the answer options (a) x<12%, (b) x=10%, (c) x=20%, or (d) x>12% would satisfy the inequality 2/9 > x > 12 because the inequality itself is illogical in its current form. Without a correct inequality, we cannot determine which value of x will make it true. We may need to clarify the correct form of inequality with Mrs. Harris to provide a proper answer.