Please answer items 4 and 5 only. Use the attached lesson for reference LEARNING ACTIVITY 4.2Use truth table to determine whether each argument is valid or invalid.1. If you finish your homework (h), then you may attend the reception (r). You did not finish yourhomework Therefore, you cannot go to the reception.2. If I cannot buy the house (~b)est I can dream about it (d). I can buy the house or atleast I can dream about it erefore, I can buy the house.3. If the us are from the east (e), then we will not have a big surf (s). We do not have a bigTherefore, the winds are from the east.4. If I mastered college algebra (c), then I will be prepared for trigonometry (t). I am prepared fortrigonometry. Therefore, I mastered college algebra.5. If it is a blot (b), then it is not a clot (c). If it is a zlot (z), then it is a clot. It is a blot. Therefore, itis not a zlot. Example 4.2Use truth table to determine whether the argument is valid or invalid.1. If it rains, then the game will not be played. It is not raining. Therefore, the game will beplayed.Solution: Let r represents "it rains" and g represents "the game will be played". The symbolicform of the argument will be:r-gAgNow let us construct truth table.rSolution:Label each simple statement.TTFFm-ss t-t-~mmTTTConstruct truth table.TFNotice on the preceding table that row 4, where both premises are true, produced falseconclusion. This is enough to say that the argument is invalid.m: I am going to run the marathons: I will buy new shoes.t: I will buy a television.The symbolic form of the argument is:F2. If I am going to run the marathon, then I will buy new shoes. If I buy new shoes, I will not buya television. Therefore If I buy a television, I will not run the marathon.FFFSTTFF8TFTFTTFFtTFTF=First Premise Second Premise ConclusionRTr~gFTTT6FTFnupFFTTFirst Premise Second Premisem-sTTFFTTTTTFTFstFTTTFTTTConclusiont~mFrow 1row 2row 3row 4T7FTTTTTrow 1row 2row 3row 4row 5row 6row 7row 8Notice that both premises in rows 2, 6, 7,and 8 are true where all conclusions are also true. Thismeans that the argument is valid.

Question

Please answer items 4 and 5 only. Use the attached lesson for reference LEARNING ACTIVITY 4.2Use truth table to determine whether each argument is valid or invalid.1. If you finish your homework (h), then you may attend the reception (r). You did not finish yourhomework Therefore, you cannot go to the reception.2. If I cannot buy the house (~b)est I can dream about it (d). I can buy the house or atleast I can dream about it erefore, I can buy the house.3. If the us are from the east (e), then we will not have a big surf (s). We do not have a bigTherefore, the winds are from the east.4. If I mastered college algebra (c), then I will be prepared for trigonometry (t). I am prepared fortrigonometry. Therefore, I mastered college algebra.5. If it is a blot (b), then it is not a clot (c). If it is a zlot (z), then it is a clot. It is a blot. Therefore, itis not a zlot. Example 4.2Use truth table to determine whether the argument is valid or invalid.1. If it rains, then the game will not be played. It is not raining. Therefore, the game will beplayed.Solution: Let r represents &#34;it rains&#34; and g represents &#34;the game will be played&#34;. The symbolicform of the argument will be:r-gAgNow let us construct truth table.rSolution:Label each simple statement.TTFFm-ss t-t-~mmTTTConstruct truth table.TFNotice on the preceding table that row 4, where both premises are true, produced falseconclusion. This is enough to say that the argument is invalid.m: I am going to run the marathons: I will buy new shoes.t: I will buy a television.The symbolic form of the argument is:F2. If I am going to run the marathon, then I will buy new shoes. If I buy new shoes, I will not buya television. Therefore If I buy a television, I will not run the marathon.FFFSTTFF8TFTFTTFFtTFTF=First Premise Second Premise ConclusionRTr~gFTTT6FTFnupFFTTFirst Premise Second Premisem-sTTFFTTTTTFTFstFTTTFTTTConclusiont~mFrow 1row 2row 3row 4T7FTTTTTrow 1row 2row 3row 4row 5row 6row 7row 8Notice that both premises in rows 2, 6, 7,and 8 are true where all conclusions are also true. Thismeans that the argument is valid.

Accepted Answer

We have to determine whether the given argument is valid or not by using the truth table.

4. If I mastered college algebra (c), then I will be prepared for trigonometry (t). I am prepared for trigonometry. Therefore, I mastered college algebra. 5. If it is a blot (b), then it is not a clot (c). If it is a zlot (z), then it is a clot. It is a blot. Therefore, it is not a zlot.