Question

F and H are sets of real numbers defined as follows.

F= w>3

H= w>6

Write FUH and Fn H using interval notation.

If the set is empty, write Ø.

Answer 1

`(a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)`

Explanation:

Given the sets F and H of real numbers defined as given:

F= w>3

H= w>6

To write a set in interval notation, we use these brackets, ( ) for < or > while we use [ or ] for
`\leq $ or \geq`.

Since our sets are defined by strict inequalities(< or >)

In interval notation

`F=(3,\infty), H=(6,\infty)`

`(a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)`