Which of the following arguments are invalid and which are valid? Prove your answer by replacing each proposition with a variable to obtain the form of the argument. Then prove that the form is valid or invalid The patient has high blood pressure or diabetes or both. The patient has diabetes or high cholesterol or both (a) The patient has high blood pressure or high cholesterol. He studied for the test or he failed the test or both.
(b) He passed the test. .:. He studied for the test. If v2 is an irrational number, then 21/2 is an irrational number
(c) 2v2 is an irrational number v2 is an irrational number 1.12 Rules of inference with propositions

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Check my work the microprocessor is a(n) circuit, which is designed to process data based on a set of instructions. most desktop and laptop devices contain a microprocessor based on the standard. most tablets and smartphones contain processors based on technology. a microprocessor's circuitry is designed to perform a limited number of tasks contained in its set. during processing, an instruction is loaded into the processor's unit. data is loaded into registers in the processor's where arithmetic and logic operations are performed. microprocessor performance can be measured by its speed. other factors affecting overall processing performance include word size, cache size, and instruction set complexity. most digital devices contain only one microprocessor chip, but today's multi- processors contain circuitry that supports parallel processing. computers contain various kinds of memory. random memory is a special holding area for data, program instructions, and the system. it stores data on a temporary basis until the processor makes a data request. ram is different from disk storage because it is , which means that it can hold data only when the computer power is turned on. computers also contain read- memory, which is a type of non-volatile memory that provides a set of "hard-wired" instructions, called the loader, that a computer uses to boot up.

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