Question

Teresa made this statement about Deon, another student in her class.

If Deon passes the final exam, then Deon will get an A in the class
(a) Statements p and q are defined as follows.
P
p: Deon passes the final exam.
q: Deon gets an A in the class.
Write Teresa's statement in symbolic form using p and q.
Symbolic form: 1

Answer 1

`p \implies q`.

Explanation:

The statement
`x \implies y` means that if
`x` is true, then
`y` must be true. In other words:
`\text{If $x$, then $y$.}`

In this question, note how the given statement match this pattern:

`\text{If $(\texttt{passes the final exam})$, then $(\texttt{gets an A in the class})$.}`.

With
`p = \texttt{passes the exam}` and
`q = \texttt{gets an A in the class}`, this statement is equivalent to:

`\text{If $p$, then $q$.}`.

Equivalently:

`p \implies q`.