Question

E and F are sets of real numbers defined as follows.E = {v | v<4)F= v>5Write En F and EU F using interval notation.If the set is empty, write Ø.

Answer 1

For this case we have the following sets:

E = {v | v<4)

`E=(-\infty,4)`

F= v>5

`F=(5,\infty)`

We want to find the intersection and the union so we got:

`\text{EUF}=(-\infty,4)U(5,\infty)`
`E\cap F=\varnothing`