Contrapositive, Converse and Inverse

Put the following sentences into formal logical format; write the contrapositive, converse and inverse of each; and translate into informal English.

  1. If it's snowing, then the weather must be cold outside.


  2. If an integer x does not equal 1 or 0, then x2 is greater than x.


  3. If a student gets caught cheating, he/she will receive a grade of "F".