# If I am a senior student, then I can take upper-level math class. I cannot take ypper-level math class: a) Use proportion variable to label each proposition. b) Determine if the argument is valid c) If the argument is valid, what is the rule of inference used? d) What is the conclusion of the argument?

If I am a senior student, then I can take upper-level math class. I cannot take ypper-level math class
a) Use proportion variable to label each proposition.
b) Determine if the argument is valid
c) If the argument is valid, what is the rule of inference used?
d) What is the conclusion of the argument?
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Step 1
a) let I be 'Iam a senior student'
let M be 'I can take upper level math class'.
b) $I\to M\phantom{\rule{0ex}{0ex}}\sim M\phantom{\rule{0ex}{0ex}}\sim I\to \sim M$
yes the statement is valid.
c) The rule of inference used is Modus Tollens which states

d) The conclusion is I'am not a senior student.