Question

Answer 1

a: A={x\(\in\)R|-1<=x<=3}

=>A=[-1;3]

B={x\(\in R\)|x>=1}

=>B=[1;+\(\infty\))

C=(-\(\infty\);1)

A\(\cup\)B=[-1;+\(\infty\))

A\(\cap\)B=[1;3]

A\C=[1;3]

A\(\cap B\cap\)C=[-1;3]\(\cap\)[1;+\(\infty\))\(\cap\)(-\(\infty\);1)

=\(\varnothing\)

b: A={x\(\in\)R| |x|<=2}

=>A=[-2;2]

B={x\(\in\)R|x>=3}

=>B=[3;+\(\infty\))

C=(-\(\infty\);0)

A\(\cup\)B=[-2;+\(\infty\))

A\(\cap\)B=\(\varnothing\)

A\C=[0;2]

A\(\cap\)B\(\cap\)C=[-2;2]\(\cap\)[3;+\(\infty\))\(\cap\)(-\(\infty\);0)

=\(\varnothing\)