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Consider the statements below

Philosophy

Consider the statements below. Explain the relationship between the statement p and q, whether p is a necessary, sufficient, or necessary and sufficient condition of q. Use one of the mathematical proofs to support your answer.

1) If a political science student has met all the academic requirements (p), then he will get a bachelor's degree in economics (q). (Weight: 5%)

2. If x e R*(p), then (x + 2) e R* (9). (Weight: 5%)

3. If a mirror has four sides (p), then the shape of the mirror is a square (q). (Weight: 5%)

4. If x is a prime number other than 2 (p), then 3x + 1 is an even number (9). (Weight: 5%)

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