Ignore the submission instruction.

From section 1.6, do problem number 6, by showing all of the inferences and rules applied to get to the conclusion "It rained" Problem 6: Use rules of inference to show that the hypothesis "If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on," "If the sailing race is held, then the trophy will be awarded," and "The trophy was not awarded" imply the conclusion "It rained." Submission Instructions: Upload a file with your answer (pdf, word document, jpg or png image), or type your answers in the text box. Please negate the following expressions (these problems were taken from your book from section 1.5). 1. VxZyv T (x, y, z) 2. Vx=yP (x, y) V Vx=yQ (x, y) 3. Vy (P(x, y) 1 JZR (x, y, z)) 4. VTg (P(x, y) + Q (x, y)) 5.3x=yP (x, y) ^ VaVyQ (x,y) 6. 3x=y (Q (x, y) 4Q (y,x))