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here we're given two simple statements P and Q P is the statement there's life on Mars Q is the statement there's life on Europa we want to write each of these given statements in symbolic form for the first one the statement says there is life on both Mars and Europa so that's equivalent to saying there's life on Mars and there's life on Europa therefore that looks like the symbol P and Q both of them connected with the and operator so we would write that symbolically as P and then remember the and symbol is this upward pointing wedge P and Q for Part B there is life on neither Mars nor Europa in simple form that's the same as saying there is not life on Mars and there is not life on Europa that's what the neither/nor means so it's not P and not Q and we write that this way not P and not Q and that's the symbolic form for that statement Part C says there is life on Mars so that would be P but not on Europa in these logical statements the word but often means the same thing as the wor...