Question 1164609
Following the standard rules of **Logical Precedence**, we evaluate the operations from the most "tightly bound" operator to the "main connective." 

The hierarchy is as follows: 
1. **Negation** ($\sim$) 
2. **Conjunction** ($\land$) 
3. **Disjunction** ($\lor$) 
4. **Conditional** ($\to$)

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### **Order of Application**

For the expression **$\sim p \land q \to r$**, the operations should be applied in this order:

1.  **First: Negation ($\sim p$)**
    The "NOT" operator is applied only to the variable immediately following it. You must flip the truth value of $p$ first.
2.  **Second: Conjunction ($\sim p \land q$)**
    The "AND" operator takes precedence over the conditional. You evaluate the relationship between the result of Step 1 and $q$.
3.  **Last: Conditional ($\dots \to r$)**
    The "IF...THEN" operator is the main connective here. It evaluates the relationship between the entire left-hand side (the antecedent) and $r$ (the consequent).

### **Summary Table**
| Order | Operation | Symbol | Resulting Grouping |
| :--- | :--- | :--- | :--- |
| **1st** | Negation | $\sim$ | $(\sim p)$ |
| **2nd** | Conjunction | $\land$ | $(\sim p \land q)$ |
| **3rd** | Conditional | $\to$ | $((\sim p \land q) \to r)$ |

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**Wait, why not the arrow first?**
In logic, the conditional ($\to$) is considered "weaker" than conjunction or negation. If you wanted the arrow to be evaluated first, the expression would have required parentheses like this: $\sim p \land (q \to r)$. Without them, we follow the hierarchy above.

Are you working on a truth table for this specific statement?