Answers:
[tex]\begin{array}{|c|c|} \cline{1-2}F & T\\\cline{1-2}T & F\\\cline{1-2}T & F\\\cline{1-2}T & F\\\cline{1-2}\end{array}[/tex]
Explanation
The arrow symbol represents a conditional statement of the form "if ... then..."
Something like [tex]p \rightarrow q[/tex] means "if p, then q". The p and q are placeholders for logical statements.
For example, p could represent "it rains" and q represents "it gets wet outside". The notation [tex]p \rightarrow q[/tex] translates to "if it rains, then it gets wet outside". Feel free to explore other examples.
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The conditional statement [tex]p \rightarrow q[/tex] is only false when p = true and q = false. Otherwise it is a true result.
Here's a truth table that you should memorize and have in your notes.
[tex]\begin{array}{|c|c|c|} \cline{1-3}p & q & p \to q\\\cline{1-3}T & T & T\\\cline{1-3}T & F & F\\\cline{1-3}F & T & T\\\cline{1-3}F & F & T\\\cline{1-3}\end{array}[/tex]
With that in mind, you'll then be able to fill out the 8 boxes. If you still have questions then please let me know.
