Final answer:
The true inequality among the given options is that '2 and 1/3 greater than 2 and 1/6'. The other inequalities presented are incorrect because they compare positive numbers with negatives incorrectly, or they rank fractions smaller than another incorrectly.
Step-by-step explanation:
The question asks which inequality is true given a number line from -3 to 3 and several comparisons between fractions and mixed numbers. To determine the correctness of each inequality, we need to compare the values of the expressions given in each part of the question.
- 5/6 less than -1/3: This is incorrect because 5/6 is positive and greater than -1/3.
- 2 and 1/3 greater than 2 and 1/6: This is correct because 1/3 is larger than 1/6, so when added to 2, the result will be larger in the case of 2 and 1/3.
- 2 less than -2 and 1/2: This is incorrect because 2 is positive and, therefore, greater than any negative number.
- 1 and 1/4 greater than 1 and 1/3: This is incorrect because 1/4 is less than 1/3, and when added to 1, the result will be smaller in the case of 1 and 1/4.
Thus, the only true inequality among the given options is 2 and 1/3 greater than 2 and 1/6.