A flow diagram is shown below. There are some input values and some output values. The rule is also given. However, the output values given are inconsistent with the rule. Identify the inconsistency a

There is an inconsistency in the provided flow diagram. The rule written in the box is "$\times 5 - 4$", but the pre-filled output values (26 for input 5, and 41 for input 7) do not follow this rule. If we use the pre-filled outputs to find the rule, it would be $7.5x - 11.5$, which is unlikely for this type of problem and contradicts the written rule.

I will proceed by assuming that the rule explicitly stated in the diagram, "$\times 5 - 4$", is the correct rule, and the pre-filled output values (26 and 41) are incorrect and need to be recalculated.

ii. What are the input values?
The input values are listed on the left side of the flow diagram.
Input values: $\boxed{\text{5, 2, 7, 11}}$

iii. What are the output values?

Step 1: Apply the rule "$\times 5 - 4$" to each input value.
For input 5:

$$5 \times 5 - 4 = 25 - 4 = 21$$

For input 2:

$$2 \times 5 - 4 = 10 - 4 = 6$$

For input 7:

$$7 \times 5 - 4 = 35 - 4 = 31$$

For input 11:

$$11 \times 5 - 4 = 55 - 4 = 51$$

Output values: $\boxed{\text{21, 6, 31, 51}}$

iv. What is the rule?
The rule is explicitly stated in the flow diagram.
Rule: $\boxed{\times 5 - 4}$