Write the correct symbolic form (including delimiters) of the following compound propositions using the indicated variable. (6 points)Both Smith (S) and Jones (J) are wearing bow-ties and one of them is wearing a hat (W, H).Man-made climate change will get worse (L) and natural disasters will become more frequent (N) if we don't make radical changes (Z).

1. Translate the proposition to symbolic form (including delimiters) using the indicated variable:     " If we reduce greenhouse gas emissions (P), then we have a chance to save the planet (Q), but if we don't, then we will regret it (S)."

Let 𝑝 and 𝑞 be the proposition variables denoting𝑝: It is below freezing.𝑞: It is snowing.Write the following propositions using variables, 𝑝 and 𝑞, and logical connectives.a. It is below freezing and snowingb. It is below freezing but not snowingc. It is not below freezing and it is not snowing.d. It is either snowing or below freezing (or both).e. If it is below freezing, it is also snowing.f. It is either below freezing or it is snowing, but it is not snowing if itis below freezing.g. That it is below freezing is necessary and sufficient for it to besnowing

2. Translate the proposition to symbolic form (including delimiters) using the indicated variable:     "Paula (P) and Quentin (Q) are going to the pub but Roger (R) won't go if Sandra (S) does."

Read the passage below and decide which answer A, B, C or D fits each numbered gap.GLOBAL WARMINGFew people now realize the reality of global warming and its effects on the world's climate. Many scientists put the blame for recent natural disasters on the increases (1) ____ the world's temperature and are convinced that, more than ever before, the Earth is at (2) ____ from the forces of the wind, rain and sun. According to them, global warming is making extreme weather events, (3) ____ as hurricanes and droughts, even more severe and causing sea levels all around the world to rise.Environment groups are putting (4) ____ on governments to take action to reduce the amount of carbon dioxide which is given off by factories and power plants, thus attacking the problem at its source. They are in (5) ____ of more money being spent on research into solar, wind, and wave devices, which could then replace existing power (6) ____ . It looks like global warming is here to stay.Question 12.(1)A.forB.inC.byD.next toQuestion 13.(2)A.threatB.harmfulC.riskD.endangerQuestion 14.(3)A.soB.suchC.evenD.wellQuestion 15.(4)A.encourageB.forceC.pressionD.pressureQuestion 16.(5)A.requestB.beliefC.interestedD.favourQuestion 17.(6)A.factoriesB.stationsC.companiesD.generations

Exercise 3: (4 POINTS) Write each of these statements in the form “if 𝑝, then 𝑞” in English.a) He gets sick whenever the weather gets cold. (1 POINT)b) It is necessary to wake up early to beat today’s traffic. (1 POINT)c) A positive integer is a prime only if it has no divisors other than 1 and itself.(1 POINT)d) John will go to Dubai during the mid-semester break unless he runs out of money.(1 POINT