**1.** For

**[ ( p → q ) ʌ q ] → p** make up the statement for p and one for q, then write a statement of this form in words to illustrate that this statement form is sometimes false.

**2.** The negation of statement form like pʌq can be written "not(pʌq)" or " it is false that pʌq" but these are considered trivial negations. A non trivial negation will change the form of the statement. For example using DeMorgans Law the negation of (pʌq) can be written (not p ᴠ not q). Using some of the logical equivalences on the tautology sheet write a non trivial negation of each of the following statements:

a) If roses are red then violets are purple.

b) Triangle ABC is isosceles or it is scalene

C) A figure is a parallelogram if and only if it is a rectangle.

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