write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.

p= The mouse is in the house
q= The cat is hungry.

The statement in symbols would be:

p: The mouse is in the house.
q: The cat is hungry.

Symbolic statement: p ∧ q

Truth Table:

| p | q | p ∧ q |
|----|----|-------|
| T | T | T |
| T | F | F |
| F | T | F |
| F | F | F |

The best match for the truth table of the symbolic statement "p ∧ q" is "AND" operator.

The given statements are:

p: The mouse is in the house
q: The cat is hungry

To write the symbolic statement, we can assign letters to represent each statement. Let's assign "p" for the mouse being in the house and "q" for the cat being hungry.

The symbolic statement can be represented as follows:

p ∧ q

"∧" represents the logical operator "AND," which means that both p and q must be true for the whole statement to be true. Therefore, the symbolic statement p ∧ q translates to "The mouse is in the house AND the cat is hungry."

To construct a truth table for this symbolic statement, we need to evaluate all possible combinations of truth values for p and q. Since there are two variables (p and q), there are four possible combinations:

1. p = True, q = True
2. p = True, q = False
3. p = False, q = True
4. p = False, q = False

Now we can evaluate the truth value for p ∧ q for each combination:

1. True ∧ True = True
2. True ∧ False = False
3. False ∧ True = False
4. False ∧ False = False

The truth table for the symbolic statement p ∧ q is as follows:

| p | q | p ∧ q |
|-------|-------|-------|
| True | True | True |
| True | False | False |
| False | True | False |
| False | False | False |

In the given options, select the one that matches the truth table generated.