**Example 1: Let P, Q and R be the propositions P: It’s raining outside. Q: It’s safe to drive. R: The roads are slippery. a) Though it’s raining outside but the roads are not slippery. b) It’s safe to drive if and only if the roads are not slippery: c) If it’s raining outside and the roads are not slippery then it’s safe to drive. d) Driving is safe after the rain stopped if and only if the roads are not slippery.**

The **Answer to the Question**

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**Here's the Solution to this Question**

a) In the symbolic form "Though it’s raining outside but the roads are not slippery." is $P\land \neg R.$

b) In the symbolic form "It’s safe to drive if and only if the roads are not slippery." is $Q\leftrightarrow\neg R.$

c) In the symbolic form "If it’s raining outside and the roads are not slippery then it’s safe to drive." is $P\land \neg R\rightarrow Q.$

d) In the symbolic form "Driving is safe after the rain stopped if and only if the roads are not slippery." is $\neg P\land Q\leftrightarrow\neg R.$