Directions . Translate statement #1 below, using the following translation dicti

Question

Directions. Translate statement #1 below, using the following translation dictionary:

“&” for all conjunctions (not the dot); “->” for all conditionals (not the horseshoe); “<->” for all biconditionals (not the 3 lines); “~” for all negations; “v” for all disjunctions. We will use the following groupers: ‘( )” parentheses, “[ ]” brackets, “{ }” braces, and if needed “< >” angle brackets. Use parentheses first, then brackets, then braces…

A = more administrators will be hired,

F = more faculty will be hired,

S = the student population will increase,

T = tuition will be raised,

1.   If tuition is raised, then if more administrators are hired, then the student population won’t increase.

Explanation / Answer

1. The following logical proposition can be stated in the following manner:

{[(-> T ) & (A)] <-> [(S) ~]}

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