Assignment on Proofs

 

The method of exhaustion:

P 139: 17, 18.

Direct proofs:

P 139: 24, 25, 27, 28.

P 146: 11, 12, 23

Prove or disprove:

(direct proofs or disproofs by counterexample)

P 139: 1-3, 39 – 50.

P 146: 13-15.

Indirect proofs by countraposition:

P 179: 17, 18,  20 b, 23b.

 

Proofs by contradiction:

P 179:  20 a, 23a.

P 184: 3 – 12.

Proofs by cases:

Read Theorem 3.4.3 on page 162.

P 164: 38.

Existential proofs:

P 139: 4 – 10.

Disprove:       

P 139: 11 – 13.

Find mistakes in a proof:             

P 139: 34-36.

P 146: 32, 34.