Question

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For the argument​ below, perform the following.

Answer 1

Answer: Choice A; argument is invalid; truth table is shown below.

Step-by-step explanation

The arrow indicates "if ... then ..."

So
`P \to Q` means "If P, then Q" where we replace P and Q with their corresponding statements.

Based on this the answer is between A and B.

The second statement "We will have enough to paint the room" then narrows the answer to choice A

Here's a truth table

`\begin{array}c \cline{1-5} & & \text{Premise} & \text{Premise} & \text{Conclusion}\\\cline{1-5}p & q & p \to q & q & p\\\cline{1-5}T & T & T & T & T\\\cline{1-5}T & F & F & F & T\\\cline{1-5}F & T & T & T & F\\\cline{1-5}F & F & T & F & F\\\cline{1-5}\end{array}`

Notice how we have T, T, F in the third row. This is where we have all true premises, but they lead to a false conclusion.

This makes the argument invalid