Purcell 9na Edicion
Enviado por jhcaja • 25 de Agosto de 2014 • 535 Palabras (3 Páginas) • 174 Visitas
0.1 Concepts Review
1. rational numbers
2. dense
3. If not Q then not P.
4. theorems
Problem Set 0.1
1. 4 2(8 11) 6 4 2( 3) 6
4 6 6 16
− − + = − − +
= + + =
2. ( ) [ ]
[ ]
3 2 4 7 12 3 2 4( 5)
3 2 20 3(22) 66
⎡⎣ − − ⎤⎦ = − −
= + = =
3. –4[5(–3 12 – 4) 2(13 – 7)]
–4[5(5) 2(6)] –4[25 12]
–4(37) –148
+ +
= + = +
= =
4. [ ]
[ ] ( )
( )
5 1(7 12 16) 4 2
5 1(3) 4 2 5 3 4 2
5 1 2 5 2 7
− + − + +
= − + + = − + +
= + = + =
5. 5 – 1 65 – 7 58
7 13 91 91 91
= =
6. 3 3 1 3 3 1
4 7 21 6 3 21 6
42 6 7 43
42 42 42 42
+ − = + −
− −
= − + − = −
7. 1 1 1 – 1 1 1 1 3 – 4 1
3 2 4 3 6 3 2 12 6
1 1 – 1 1
3 2 12 6
1 – 1 4
3 24 24
1 3 1
3 24 24
⎡ ⎛ ⎞ ⎤ ⎡ ⎛ ⎞ ⎤ ⎢ ⎜ ⎟ + ⎥ = ⎢ ⎜ ⎟ + ⎥ ⎣ ⎝ ⎠ ⎦ ⎣ ⎝ ⎠ ⎦
⎡ ⎛ ⎞ ⎤ = ⎢ ⎜ ⎟ + ⎥ ⎣ ⎝ ⎠ ⎦
= ⎡ + ⎤ ⎢⎣ ⎥⎦
= ⎛ ⎞ = ⎜ ⎟
⎝ ⎠
8. 1 2 1 1 1 1
3 5 2 3
...