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use truth tables to determine whether or not the following arguments are valid: a) if jones...

use truth tables to determine whether or not the following arguments are valid:

a) if jones is convicted then he will go to prison. Jones will be convicted only if Smith testifies against him. Therefore , Jones won't go to prison unless smith testifies against him.

b) either the Democrats or the Republicans will have a majority in the Senate. but not both. Having a Democratic majority is a necessary condition for the bill to pass. Therefore, if the republicans have a majority in the senate there the bill won't pass.

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