Answer
(a)
Determine the truth table for \[\sim p\to q\] and \[p\vee q\] as shown below,
It can be seen from the truth table that the values of \[\sim p\to q\] and \[p\vee q\] are same.
(b)
Use the following statement to determine symbolic representation of the provided statement,
p: The United states energetically support the development of solar-powered cars.
q: It will suffer increasing atmospheric pollution.
The given statement can be represented in symbolic form as,\[\sim p\to q\].
In part (a) it has been shown that \[\sim p\to q\] and \[p\vee q\] are equivalent. Therefore, the statement that is equivalent to the provided statement is, The United states energetically support the development of solar-powered cars or it will suffer increasing atmospheric pollution.
