Question

Answer 1

1.19:

a: (-∞;1)\(\cap\) (0;+∞)=(0;1)

b: (-∞;1)\(\cap\) (-4;0)=(-4;0)

c: [-3;1]\(0;+∞)=[-3;0]

d: (0;+∞)\[-3;1]=(1;+∞)

e: (0;+∞)\(\cup\) [-3;1]=[-3;+∞)

f: (-4;0)\(\cap\) [-3;1]=[-3;0)

1.20:

a: (-∞;1/3)\(\cap\) (1/4;+∞)=(1/4;1/3)

b: [-3;0]\{-3;-1}=(-3;-1)\(\cup\) (-1;0]

c: (0;3)\(\cup\) [1;5)=(0;5)

d: ((-1;2)\(\cap\) (3;5))\(1;6]

=∅\(1;6]

=∅

e: \(C_{R}\) ((3;+∞)\(\cup\) (1;4))

=\(C_{R}\) (1;+∞)

=R\(1;+∞)

=(-∞;1]

f: \(C_{R}\) ((-∞;3)\(\cap\) (0;4))

=\(C_{R}\) (0;3)

=R\(0;3)

=(-∞;0]\(\cup\) [3;+∞)